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Finding the Third Proportional to 35,739 and 52,569

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Solution

The third proportional to 35,739 and 52,569 is: 77,324.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,739 : 52,569 = 52,569 : x
  2. Step 2: Convert to fraction form
    35,739/52,569 = 52,569/x
  3. Step 3: Cross multiply
    35,739x = 52,569 × 52,569
  4. Step 4: Simplify right side
    35,739x = 2,763,499,761
  5. Step 5: Solve for x
    x = 2,763,499,761/35,739
  6. Step 6: Final answer
    x = 77,324.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.