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Finding the Third Proportional to 9,332.44 and 14,471.16

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Solution

The third proportional to 9,332.44 and 14,471.16 is: 22,439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332.44 : 14,471.16 = 14,471.16 : x
  2. Step 2: Convert to fraction form
    9,332.44/14,471.16 = 14,471.16/x
  3. Step 3: Cross multiply
    9,332.44x = 14,471.16 × 14,471.16
  4. Step 4: Simplify right side
    9,332.44x = 209,414,363.21
  5. Step 5: Solve for x
    x = 209,414,363.21/9,332.44
  6. Step 6: Final answer
    x = 22,439.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.