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Finding the Third Proportional to 24,752 and 54,427

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Solution

The third proportional to 24,752 and 54,427 is: 119,679.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,752 : 54,427 = 54,427 : x
  2. Step 2: Convert to fraction form
    24,752/54,427 = 54,427/x
  3. Step 3: Cross multiply
    24,752x = 54,427 × 54,427
  4. Step 4: Simplify right side
    24,752x = 2,962,298,329
  5. Step 5: Solve for x
    x = 2,962,298,329/24,752
  6. Step 6: Final answer
    x = 119,679.15

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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.