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Finding the Third Proportional to 11,142.94 and 24,472.69

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Solution

The third proportional to 11,142.94 and 24,472.69 is: 53,748.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142.94 : 24,472.69 = 24,472.69 : x
  2. Step 2: Convert to fraction form
    11,142.94/24,472.69 = 24,472.69/x
  3. Step 3: Cross multiply
    11,142.94x = 24,472.69 × 24,472.69
  4. Step 4: Simplify right side
    11,142.94x = 598,912,433.47
  5. Step 5: Solve for x
    x = 598,912,433.47/11,142.94
  6. Step 6: Final answer
    x = 53,748.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.