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Finding the Third Proportional to 27,881 and 59,578

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Solution

The third proportional to 27,881 and 59,578 is: 127,310.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,881 : 59,578 = 59,578 : x
  2. Step 2: Convert to fraction form
    27,881/59,578 = 59,578/x
  3. Step 3: Cross multiply
    27,881x = 59,578 × 59,578
  4. Step 4: Simplify right side
    27,881x = 3,549,538,084
  5. Step 5: Solve for x
    x = 3,549,538,084/27,881
  6. Step 6: Final answer
    x = 127,310.29

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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.