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Finding the Third Proportional to 15,782 and 36,539

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Solution

The third proportional to 15,782 and 36,539 is: 84,596.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782 : 36,539 = 36,539 : x
  2. Step 2: Convert to fraction form
    15,782/36,539 = 36,539/x
  3. Step 3: Cross multiply
    15,782x = 36,539 × 36,539
  4. Step 4: Simplify right side
    15,782x = 1,335,098,521
  5. Step 5: Solve for x
    x = 1,335,098,521/15,782
  6. Step 6: Final answer
    x = 84,596.28

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.