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Finding the Third Proportional to 39,561 and 52,845

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Solution

The third proportional to 39,561 and 52,845 is: 70,589.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,561 : 52,845 = 52,845 : x
  2. Step 2: Convert to fraction form
    39,561/52,845 = 52,845/x
  3. Step 3: Cross multiply
    39,561x = 52,845 × 52,845
  4. Step 4: Simplify right side
    39,561x = 2,792,594,025
  5. Step 5: Solve for x
    x = 2,792,594,025/39,561
  6. Step 6: Final answer
    x = 70,589.57

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.