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Finding the Third Proportional to 7,320.38 and 17,275.78

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Solution

The third proportional to 7,320.38 and 17,275.78 is: 40,770.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,320.38 : 17,275.78 = 17,275.78 : x
  2. Step 2: Convert to fraction form
    7,320.38/17,275.78 = 17,275.78/x
  3. Step 3: Cross multiply
    7,320.38x = 17,275.78 × 17,275.78
  4. Step 4: Simplify right side
    7,320.38x = 298,452,617.80
  5. Step 5: Solve for x
    x = 298,452,617.80/7,320.38
  6. Step 6: Final answer
    x = 40,770.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.