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Finding the Third Proportional to 13,734 and 24,513.75

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Solution

The third proportional to 13,734 and 24,513.75 is: 43,754.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734 : 24,513.75 = 24,513.75 : x
  2. Step 2: Convert to fraction form
    13,734/24,513.75 = 24,513.75/x
  3. Step 3: Cross multiply
    13,734x = 24,513.75 × 24,513.75
  4. Step 4: Simplify right side
    13,734x = 600,923,939.06
  5. Step 5: Solve for x
    x = 600,923,939.06/13,734
  6. Step 6: Final answer
    x = 43,754.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.