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Finding the Third Proportional to 10,531.50 and 23,397

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Solution

The third proportional to 10,531.50 and 23,397 is: 51,979.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.50 : 23,397 = 23,397 : x
  2. Step 2: Convert to fraction form
    10,531.50/23,397 = 23,397/x
  3. Step 3: Cross multiply
    10,531.50x = 23,397 × 23,397
  4. Step 4: Simplify right side
    10,531.50x = 547,419,609
  5. Step 5: Solve for x
    x = 547,419,609/10,531.50
  6. Step 6: Final answer
    x = 51,979.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.