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Finding the Third Proportional to 32,487 and 51,687

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Solution

The third proportional to 32,487 and 51,687 is: 82,234.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,487 : 51,687 = 51,687 : x
  2. Step 2: Convert to fraction form
    32,487/51,687 = 51,687/x
  3. Step 3: Cross multiply
    32,487x = 51,687 × 51,687
  4. Step 4: Simplify right side
    32,487x = 2,671,545,969
  5. Step 5: Solve for x
    x = 2,671,545,969/32,487
  6. Step 6: Final answer
    x = 82,234.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.