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Finding the Third Proportional to 24,770.25 and 54,461.25

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Solution

The third proportional to 24,770.25 and 54,461.25 is: 119,741.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,770.25 : 54,461.25 = 54,461.25 : x
  2. Step 2: Convert to fraction form
    24,770.25/54,461.25 = 54,461.25/x
  3. Step 3: Cross multiply
    24,770.25x = 54,461.25 × 54,461.25
  4. Step 4: Simplify right side
    24,770.25x = 2,966,027,751.56
  5. Step 5: Solve for x
    x = 2,966,027,751.56/24,770.25
  6. Step 6: Final answer
    x = 119,741.53

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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.