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Finding the Third Proportional to 10,856.53 and 23,791.22

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Solution

The third proportional to 10,856.53 and 23,791.22 is: 52,136.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856.53 : 23,791.22 = 23,791.22 : x
  2. Step 2: Convert to fraction form
    10,856.53/23,791.22 = 23,791.22/x
  3. Step 3: Cross multiply
    10,856.53x = 23,791.22 × 23,791.22
  4. Step 4: Simplify right side
    10,856.53x = 566,022,089.61
  5. Step 5: Solve for x
    x = 566,022,089.61/10,856.53
  6. Step 6: Final answer
    x = 52,136.55

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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.