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Finding the Third Proportional to 24,231 and 51,397

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Solution

The third proportional to 24,231 and 51,397 is: 109,019.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,231 : 51,397 = 51,397 : x
  2. Step 2: Convert to fraction form
    24,231/51,397 = 51,397/x
  3. Step 3: Cross multiply
    24,231x = 51,397 × 51,397
  4. Step 4: Simplify right side
    24,231x = 2,641,651,609
  5. Step 5: Solve for x
    x = 2,641,651,609/24,231
  6. Step 6: Final answer
    x = 109,019.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.