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Finding the Third Proportional to 15,694 and 32,683

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Solution

The third proportional to 15,694 and 32,683 is: 68,062.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,694 : 32,683 = 32,683 : x
  2. Step 2: Convert to fraction form
    15,694/32,683 = 32,683/x
  3. Step 3: Cross multiply
    15,694x = 32,683 × 32,683
  4. Step 4: Simplify right side
    15,694x = 1,068,178,489
  5. Step 5: Solve for x
    x = 1,068,178,489/15,694
  6. Step 6: Final answer
    x = 68,062.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.