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Finding the Third Proportional to 27,464 and 58,635

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Solution

The third proportional to 27,464 and 58,635 is: 125,184.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,464 : 58,635 = 58,635 : x
  2. Step 2: Convert to fraction form
    27,464/58,635 = 58,635/x
  3. Step 3: Cross multiply
    27,464x = 58,635 × 58,635
  4. Step 4: Simplify right side
    27,464x = 3,438,063,225
  5. Step 5: Solve for x
    x = 3,438,063,225/27,464
  6. Step 6: Final answer
    x = 125,184.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.