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Finding the Third Proportional to 27,292 and 59,390

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Solution

The third proportional to 27,292 and 59,390 is: 129,238.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,292 : 59,390 = 59,390 : x
  2. Step 2: Convert to fraction form
    27,292/59,390 = 59,390/x
  3. Step 3: Cross multiply
    27,292x = 59,390 × 59,390
  4. Step 4: Simplify right side
    27,292x = 3,527,172,100
  5. Step 5: Solve for x
    x = 3,527,172,100/27,292
  6. Step 6: Final answer
    x = 129,238.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.