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Finding the Third Proportional to 27,489.75 and 58,867.13

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Solution

The third proportional to 27,489.75 and 58,867.13 is: 126,059.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,489.75 : 58,867.13 = 58,867.13 : x
  2. Step 2: Convert to fraction form
    27,489.75/58,867.13 = 58,867.13/x
  3. Step 3: Cross multiply
    27,489.75x = 58,867.13 × 58,867.13
  4. Step 4: Simplify right side
    27,489.75x = 3,465,338,405.77
  5. Step 5: Solve for x
    x = 3,465,338,405.77/27,489.75
  6. Step 6: Final answer
    x = 126,059.29

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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.