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Finding the Third Proportional to 5,741.50 and 13,073.75

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Solution

The third proportional to 5,741.50 and 13,073.75 is: 29,769.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.50 : 13,073.75 = 13,073.75 : x
  2. Step 2: Convert to fraction form
    5,741.50/13,073.75 = 13,073.75/x
  3. Step 3: Cross multiply
    5,741.50x = 13,073.75 × 13,073.75
  4. Step 4: Simplify right side
    5,741.50x = 170,922,939.06
  5. Step 5: Solve for x
    x = 170,922,939.06/5,741.50
  6. Step 6: Final answer
    x = 29,769.74

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.