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Finding the Third Proportional to 27,270 and 58,422

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Solution

The third proportional to 27,270 and 58,422 is: 125,160.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,270 : 58,422 = 58,422 : x
  2. Step 2: Convert to fraction form
    27,270/58,422 = 58,422/x
  3. Step 3: Cross multiply
    27,270x = 58,422 × 58,422
  4. Step 4: Simplify right side
    27,270x = 3,413,130,084
  5. Step 5: Solve for x
    x = 3,413,130,084/27,270
  6. Step 6: Final answer
    x = 125,160.62

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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.