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Finding the Third Proportional to 16,691 and 35,683

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Solution

The third proportional to 16,691 and 35,683 is: 76,285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,691 : 35,683 = 35,683 : x
  2. Step 2: Convert to fraction form
    16,691/35,683 = 35,683/x
  3. Step 3: Cross multiply
    16,691x = 35,683 × 35,683
  4. Step 4: Simplify right side
    16,691x = 1,273,276,489
  5. Step 5: Solve for x
    x = 1,273,276,489/16,691
  6. Step 6: Final answer
    x = 76,285.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.