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Finding the Third Proportional to 23,971.50 and 52,125.75

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Solution

The third proportional to 23,971.50 and 52,125.75 is: 113,346.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,971.50 : 52,125.75 = 52,125.75 : x
  2. Step 2: Convert to fraction form
    23,971.50/52,125.75 = 52,125.75/x
  3. Step 3: Cross multiply
    23,971.50x = 52,125.75 × 52,125.75
  4. Step 4: Simplify right side
    23,971.50x = 2,717,093,813.06
  5. Step 5: Solve for x
    x = 2,717,093,813.06/23,971.50
  6. Step 6: Final answer
    x = 113,346.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.