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Finding the Third Proportional to 9,192.38 and 12,097.13

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Solution

The third proportional to 9,192.38 and 12,097.13 is: 15,919.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.38 : 12,097.13 = 12,097.13 : x
  2. Step 2: Convert to fraction form
    9,192.38/12,097.13 = 12,097.13/x
  3. Step 3: Cross multiply
    9,192.38x = 12,097.13 × 12,097.13
  4. Step 4: Simplify right side
    9,192.38x = 146,340,433.27
  5. Step 5: Solve for x
    x = 146,340,433.27/9,192.38
  6. Step 6: Final answer
    x = 15,919.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.