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Finding the Third Proportional to 27,872 and 59,524

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Solution

The third proportional to 27,872 and 59,524 is: 127,120.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872 : 59,524 = 59,524 : x
  2. Step 2: Convert to fraction form
    27,872/59,524 = 59,524/x
  3. Step 3: Cross multiply
    27,872x = 59,524 × 59,524
  4. Step 4: Simplify right side
    27,872x = 3,543,106,576
  5. Step 5: Solve for x
    x = 3,543,106,576/27,872
  6. Step 6: Final answer
    x = 127,120.64

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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.