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Finding the Third Proportional to 7,323.75 and 9,426.38

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Solution

The third proportional to 7,323.75 and 9,426.38 is: 12,132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,323.75 : 9,426.38 = 9,426.38 : x
  2. Step 2: Convert to fraction form
    7,323.75/9,426.38 = 9,426.38/x
  3. Step 3: Cross multiply
    7,323.75x = 9,426.38 × 9,426.38
  4. Step 4: Simplify right side
    7,323.75x = 88,856,545.64
  5. Step 5: Solve for x
    x = 88,856,545.64/7,323.75
  6. Step 6: Final answer
    x = 12,132.66

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.