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Finding the Third Proportional to 27,871 and 60,925

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Solution

The third proportional to 27,871 and 60,925 is: 133,179.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,871 : 60,925 = 60,925 : x
  2. Step 2: Convert to fraction form
    27,871/60,925 = 60,925/x
  3. Step 3: Cross multiply
    27,871x = 60,925 × 60,925
  4. Step 4: Simplify right side
    27,871x = 3,711,855,625
  5. Step 5: Solve for x
    x = 3,711,855,625/27,871
  6. Step 6: Final answer
    x = 133,179.85

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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.