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Finding the Third Proportional to 24,762 and 58,397

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Solution

The third proportional to 24,762 and 58,397 is: 137,719.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,762 : 58,397 = 58,397 : x
  2. Step 2: Convert to fraction form
    24,762/58,397 = 58,397/x
  3. Step 3: Cross multiply
    24,762x = 58,397 × 58,397
  4. Step 4: Simplify right side
    24,762x = 3,410,209,609
  5. Step 5: Solve for x
    x = 3,410,209,609/24,762
  6. Step 6: Final answer
    x = 137,719.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.