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Finding the Third Proportional to 27,047 and 59,422

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Solution

The third proportional to 27,047 and 59,422 is: 130,549.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,047 : 59,422 = 59,422 : x
  2. Step 2: Convert to fraction form
    27,047/59,422 = 59,422/x
  3. Step 3: Cross multiply
    27,047x = 59,422 × 59,422
  4. Step 4: Simplify right side
    27,047x = 3,530,974,084
  5. Step 5: Solve for x
    x = 3,530,974,084/27,047
  6. Step 6: Final answer
    x = 130,549.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.