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Finding the Third Proportional to 27,074 and 58,684

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Solution

The third proportional to 27,074 and 58,684 is: 127,199.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,074 : 58,684 = 58,684 : x
  2. Step 2: Convert to fraction form
    27,074/58,684 = 58,684/x
  3. Step 3: Cross multiply
    27,074x = 58,684 × 58,684
  4. Step 4: Simplify right side
    27,074x = 3,443,811,856
  5. Step 5: Solve for x
    x = 3,443,811,856/27,074
  6. Step 6: Final answer
    x = 127,199.97

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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.