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Finding the Third Proportional to 24,911.30 and 54,493.46

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Solution

The third proportional to 24,911.30 and 54,493.46 is: 119,204.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,911.30 : 54,493.46 = 54,493.46 : x
  2. Step 2: Convert to fraction form
    24,911.30/54,493.46 = 54,493.46/x
  3. Step 3: Cross multiply
    24,911.30x = 54,493.46 × 54,493.46
  4. Step 4: Simplify right side
    24,911.30x = 2,969,537,391.38
  5. Step 5: Solve for x
    x = 2,969,537,391.38/24,911.30
  6. Step 6: Final answer
    x = 119,204.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.