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Finding the Third Proportional to 27,706 and 59,382

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Solution

The third proportional to 27,706 and 59,382 is: 127,272.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,706 : 59,382 = 59,382 : x
  2. Step 2: Convert to fraction form
    27,706/59,382 = 59,382/x
  3. Step 3: Cross multiply
    27,706x = 59,382 × 59,382
  4. Step 4: Simplify right side
    27,706x = 3,526,221,924
  5. Step 5: Solve for x
    x = 3,526,221,924/27,706
  6. Step 6: Final answer
    x = 127,272.86

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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.