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Finding the Third Proportional to 27,017 and 58,195

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Solution

The third proportional to 27,017 and 58,195 is: 125,352.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,017 : 58,195 = 58,195 : x
  2. Step 2: Convert to fraction form
    27,017/58,195 = 58,195/x
  3. Step 3: Cross multiply
    27,017x = 58,195 × 58,195
  4. Step 4: Simplify right side
    27,017x = 3,386,658,025
  5. Step 5: Solve for x
    x = 3,386,658,025/27,017
  6. Step 6: Final answer
    x = 125,352.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.