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Finding the Third Proportional to 27,486 and 58,860

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Solution

The third proportional to 27,486 and 58,860 is: 126,045.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,486 : 58,860 = 58,860 : x
  2. Step 2: Convert to fraction form
    27,486/58,860 = 58,860/x
  3. Step 3: Cross multiply
    27,486x = 58,860 × 58,860
  4. Step 4: Simplify right side
    27,486x = 3,464,499,600
  5. Step 5: Solve for x
    x = 3,464,499,600/27,486
  6. Step 6: Final answer
    x = 126,045.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.