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Finding the Third Proportional to 27,358 and 58,902

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Solution

The third proportional to 27,358 and 58,902 is: 126,816.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,358 : 58,902 = 58,902 : x
  2. Step 2: Convert to fraction form
    27,358/58,902 = 58,902/x
  3. Step 3: Cross multiply
    27,358x = 58,902 × 58,902
  4. Step 4: Simplify right side
    27,358x = 3,469,445,604
  5. Step 5: Solve for x
    x = 3,469,445,604/27,358
  6. Step 6: Final answer
    x = 126,816.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.