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Finding the Third Proportional to 27,367 and 59,877

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Solution

The third proportional to 27,367 and 59,877 is: 131,006.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,367 : 59,877 = 59,877 : x
  2. Step 2: Convert to fraction form
    27,367/59,877 = 59,877/x
  3. Step 3: Cross multiply
    27,367x = 59,877 × 59,877
  4. Step 4: Simplify right side
    27,367x = 3,585,255,129
  5. Step 5: Solve for x
    x = 3,585,255,129/27,367
  6. Step 6: Final answer
    x = 131,006.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.