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Finding the Third Proportional to 27,064.13 and 58,732.91

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Solution

The third proportional to 27,064.13 and 58,732.91 is: 127,458.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,064.13 : 58,732.91 = 58,732.91 : x
  2. Step 2: Convert to fraction form
    27,064.13/58,732.91 = 58,732.91/x
  3. Step 3: Cross multiply
    27,064.13x = 58,732.91 × 58,732.91
  4. Step 4: Simplify right side
    27,064.13x = 3,449,554,735.42
  5. Step 5: Solve for x
    x = 3,449,554,735.42/27,064.13
  6. Step 6: Final answer
    x = 127,458.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.