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Finding the Third Proportional to 17,685 and 38,649

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Solution

The third proportional to 17,685 and 38,649 is: 84,463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,685 : 38,649 = 38,649 : x
  2. Step 2: Convert to fraction form
    17,685/38,649 = 38,649/x
  3. Step 3: Cross multiply
    17,685x = 38,649 × 38,649
  4. Step 4: Simplify right side
    17,685x = 1,493,745,201
  5. Step 5: Solve for x
    x = 1,493,745,201/17,685
  6. Step 6: Final answer
    x = 84,463.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.