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Finding the Third Proportional to 16,527 and 36,327

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Solution

The third proportional to 16,527 and 36,327 is: 79,848.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,527 : 36,327 = 36,327 : x
  2. Step 2: Convert to fraction form
    16,527/36,327 = 36,327/x
  3. Step 3: Cross multiply
    16,527x = 36,327 × 36,327
  4. Step 4: Simplify right side
    16,527x = 1,319,650,929
  5. Step 5: Solve for x
    x = 1,319,650,929/16,527
  6. Step 6: Final answer
    x = 79,848.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.