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Finding the Third Proportional to 9,123.89 and 12,131.02

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Solution

The third proportional to 9,123.89 and 12,131.02 is: 16,129.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.89 : 12,131.02 = 12,131.02 : x
  2. Step 2: Convert to fraction form
    9,123.89/12,131.02 = 12,131.02/x
  3. Step 3: Cross multiply
    9,123.89x = 12,131.02 × 12,131.02
  4. Step 4: Simplify right side
    9,123.89x = 147,161,540.09
  5. Step 5: Solve for x
    x = 147,161,540.09/9,123.89
  6. Step 6: Final answer
    x = 16,129.25

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.