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Finding the Third Proportional to 27,136.27 and 58,165.59

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Solution

The third proportional to 27,136.27 and 58,165.59 is: 124,675.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,136.27 : 58,165.59 = 58,165.59 : x
  2. Step 2: Convert to fraction form
    27,136.27/58,165.59 = 58,165.59/x
  3. Step 3: Cross multiply
    27,136.27x = 58,165.59 × 58,165.59
  4. Step 4: Simplify right side
    27,136.27x = 3,383,236,296.29
  5. Step 5: Solve for x
    x = 3,383,236,296.29/27,136.27
  6. Step 6: Final answer
    x = 124,675.82

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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.