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Finding the Third Proportional to 16,692 and 31,282

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Solution

The third proportional to 16,692 and 31,282 is: 58,624.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,692 : 31,282 = 31,282 : x
  2. Step 2: Convert to fraction form
    16,692/31,282 = 31,282/x
  3. Step 3: Cross multiply
    16,692x = 31,282 × 31,282
  4. Step 4: Simplify right side
    16,692x = 978,563,524
  5. Step 5: Solve for x
    x = 978,563,524/16,692
  6. Step 6: Final answer
    x = 58,624.70

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.