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Finding the Third Proportional to 16,481 and 35,755

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Solution

The third proportional to 16,481 and 35,755 is: 77,569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,481 : 35,755 = 35,755 : x
  2. Step 2: Convert to fraction form
    16,481/35,755 = 35,755/x
  3. Step 3: Cross multiply
    16,481x = 35,755 × 35,755
  4. Step 4: Simplify right side
    16,481x = 1,278,420,025
  5. Step 5: Solve for x
    x = 1,278,420,025/16,481
  6. Step 6: Final answer
    x = 77,569.32

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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.