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Finding the Third Proportional to 24,279.75 and 54,205.88

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Solution

The third proportional to 24,279.75 and 54,205.88 is: 121,017.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,279.75 : 54,205.88 = 54,205.88 : x
  2. Step 2: Convert to fraction form
    24,279.75/54,205.88 = 54,205.88/x
  3. Step 3: Cross multiply
    24,279.75x = 54,205.88 × 54,205.88
  4. Step 4: Simplify right side
    24,279.75x = 2,938,276,884.52
  5. Step 5: Solve for x
    x = 2,938,276,884.52/24,279.75
  6. Step 6: Final answer
    x = 121,017.59

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.