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Finding the Third Proportional to 24,922 and 54,766

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Solution

The third proportional to 24,922 and 54,766 is: 120,348.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,922 : 54,766 = 54,766 : x
  2. Step 2: Convert to fraction form
    24,922/54,766 = 54,766/x
  3. Step 3: Cross multiply
    24,922x = 54,766 × 54,766
  4. Step 4: Simplify right side
    24,922x = 2,999,314,756
  5. Step 5: Solve for x
    x = 2,999,314,756/24,922
  6. Step 6: Final answer
    x = 120,348.08

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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.