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Finding the Third Proportional to 39,910 and 53,254.75

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Solution

The third proportional to 39,910 and 53,254.75 is: 71,061.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,910 : 53,254.75 = 53,254.75 : x
  2. Step 2: Convert to fraction form
    39,910/53,254.75 = 53,254.75/x
  3. Step 3: Cross multiply
    39,910x = 53,254.75 × 53,254.75
  4. Step 4: Simplify right side
    39,910x = 2,836,068,397.56
  5. Step 5: Solve for x
    x = 2,836,068,397.56/39,910
  6. Step 6: Final answer
    x = 71,061.60

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.