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Finding the Third Proportional to 10,711.50 and 17,103

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Solution

The third proportional to 10,711.50 and 17,103 is: 27,308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.50 : 17,103 = 17,103 : x
  2. Step 2: Convert to fraction form
    10,711.50/17,103 = 17,103/x
  3. Step 3: Cross multiply
    10,711.50x = 17,103 × 17,103
  4. Step 4: Simplify right side
    10,711.50x = 292,512,609
  5. Step 5: Solve for x
    x = 292,512,609/10,711.50
  6. Step 6: Final answer
    x = 27,308.28

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.