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Finding the Third Proportional to 27,342 and 58,951.69

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Solution

The third proportional to 27,342 and 58,951.69 is: 127,104.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,342 : 58,951.69 = 58,951.69 : x
  2. Step 2: Convert to fraction form
    27,342/58,951.69 = 58,951.69/x
  3. Step 3: Cross multiply
    27,342x = 58,951.69 × 58,951.69
  4. Step 4: Simplify right side
    27,342x = 3,475,301,459.10
  5. Step 5: Solve for x
    x = 3,475,301,459.10/27,342
  6. Step 6: Final answer
    x = 127,104.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.