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Finding the Third Proportional to 9,190.97 and 12,260.11

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Solution

The third proportional to 9,190.97 and 12,260.11 is: 16,354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.97 : 12,260.11 = 12,260.11 : x
  2. Step 2: Convert to fraction form
    9,190.97/12,260.11 = 12,260.11/x
  3. Step 3: Cross multiply
    9,190.97x = 12,260.11 × 12,260.11
  4. Step 4: Simplify right side
    9,190.97x = 150,310,281.89
  5. Step 5: Solve for x
    x = 150,310,281.89/9,190.97
  6. Step 6: Final answer
    x = 16,354.13

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Why These Related Problems?

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