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Finding the Third Proportional to 24,889 and 54,697

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Solution

The third proportional to 24,889 and 54,697 is: 120,204.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,889 : 54,697 = 54,697 : x
  2. Step 2: Convert to fraction form
    24,889/54,697 = 54,697/x
  3. Step 3: Cross multiply
    24,889x = 54,697 × 54,697
  4. Step 4: Simplify right side
    24,889x = 2,991,761,809
  5. Step 5: Solve for x
    x = 2,991,761,809/24,889
  6. Step 6: Final answer
    x = 120,204.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.