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Finding the Third Proportional to 27,682 and 59,396

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Solution

The third proportional to 27,682 and 59,396 is: 127,443.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682 : 59,396 = 59,396 : x
  2. Step 2: Convert to fraction form
    27,682/59,396 = 59,396/x
  3. Step 3: Cross multiply
    27,682x = 59,396 × 59,396
  4. Step 4: Simplify right side
    27,682x = 3,527,884,816
  5. Step 5: Solve for x
    x = 3,527,884,816/27,682
  6. Step 6: Final answer
    x = 127,443.28

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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.