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Finding the Third Proportional to 24,987 and 54,049.50

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Solution

The third proportional to 24,987 and 54,049.50 is: 116,914.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,987 : 54,049.50 = 54,049.50 : x
  2. Step 2: Convert to fraction form
    24,987/54,049.50 = 54,049.50/x
  3. Step 3: Cross multiply
    24,987x = 54,049.50 × 54,049.50
  4. Step 4: Simplify right side
    24,987x = 2,921,348,450.25
  5. Step 5: Solve for x
    x = 2,921,348,450.25/24,987
  6. Step 6: Final answer
    x = 116,914.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.