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Finding the Third Proportional to 9,793.31 and 14,919.38

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Solution

The third proportional to 9,793.31 and 14,919.38 is: 22,728.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.31 : 14,919.38 = 14,919.38 : x
  2. Step 2: Convert to fraction form
    9,793.31/14,919.38 = 14,919.38/x
  3. Step 3: Cross multiply
    9,793.31x = 14,919.38 × 14,919.38
  4. Step 4: Simplify right side
    9,793.31x = 222,587,750.39
  5. Step 5: Solve for x
    x = 222,587,750.39/9,793.31
  6. Step 6: Final answer
    x = 22,728.55

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.