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Finding the Third Proportional to 9,273.66 and 13,737.52

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Solution

The third proportional to 9,273.66 and 13,737.52 is: 20,350.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,273.66 : 13,737.52 = 13,737.52 : x
  2. Step 2: Convert to fraction form
    9,273.66/13,737.52 = 13,737.52/x
  3. Step 3: Cross multiply
    9,273.66x = 13,737.52 × 13,737.52
  4. Step 4: Simplify right side
    9,273.66x = 188,719,335.55
  5. Step 5: Solve for x
    x = 188,719,335.55/9,273.66
  6. Step 6: Final answer
    x = 20,350.05

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.