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Finding the Third Proportional to 10,917 and 25,375.50

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Solution

The third proportional to 10,917 and 25,375.50 is: 58,982.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917 : 25,375.50 = 25,375.50 : x
  2. Step 2: Convert to fraction form
    10,917/25,375.50 = 25,375.50/x
  3. Step 3: Cross multiply
    10,917x = 25,375.50 × 25,375.50
  4. Step 4: Simplify right side
    10,917x = 643,916,000.25
  5. Step 5: Solve for x
    x = 643,916,000.25/10,917
  6. Step 6: Final answer
    x = 58,982.87

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.