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Finding the Third Proportional to 25,494 and 59,980

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Solution

The third proportional to 25,494 and 59,980 is: 141,115.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,494 : 59,980 = 59,980 : x
  2. Step 2: Convert to fraction form
    25,494/59,980 = 59,980/x
  3. Step 3: Cross multiply
    25,494x = 59,980 × 59,980
  4. Step 4: Simplify right side
    25,494x = 3,597,600,400
  5. Step 5: Solve for x
    x = 3,597,600,400/25,494
  6. Step 6: Final answer
    x = 141,115.57

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.