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Finding the Third Proportional to 9,912.38 and 14,321.53

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Solution

The third proportional to 9,912.38 and 14,321.53 is: 20,691.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.38 : 14,321.53 = 14,321.53 : x
  2. Step 2: Convert to fraction form
    9,912.38/14,321.53 = 14,321.53/x
  3. Step 3: Cross multiply
    9,912.38x = 14,321.53 × 14,321.53
  4. Step 4: Simplify right side
    9,912.38x = 205,106,257.34
  5. Step 5: Solve for x
    x = 205,106,257.34/9,912.38
  6. Step 6: Final answer
    x = 20,691.94

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.