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Finding the Third Proportional to 17,466.50 and 24,691

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Solution

The third proportional to 17,466.50 and 24,691 is: 34,903.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,466.50 : 24,691 = 24,691 : x
  2. Step 2: Convert to fraction form
    17,466.50/24,691 = 24,691/x
  3. Step 3: Cross multiply
    17,466.50x = 24,691 × 24,691
  4. Step 4: Simplify right side
    17,466.50x = 609,645,481
  5. Step 5: Solve for x
    x = 609,645,481/17,466.50
  6. Step 6: Final answer
    x = 34,903.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.