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Finding the Third Proportional to 27,882 and 59,544

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Solution

The third proportional to 27,882 and 59,544 is: 127,160.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,882 : 59,544 = 59,544 : x
  2. Step 2: Convert to fraction form
    27,882/59,544 = 59,544/x
  3. Step 3: Cross multiply
    27,882x = 59,544 × 59,544
  4. Step 4: Simplify right side
    27,882x = 3,545,487,936
  5. Step 5: Solve for x
    x = 3,545,487,936/27,882
  6. Step 6: Final answer
    x = 127,160.46

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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.