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Finding the Third Proportional to 3,502.69 and 5,280.47

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Solution

The third proportional to 3,502.69 and 5,280.47 is: 7,960.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.69 : 5,280.47 = 5,280.47 : x
  2. Step 2: Convert to fraction form
    3,502.69/5,280.47 = 5,280.47/x
  3. Step 3: Cross multiply
    3,502.69x = 5,280.47 × 5,280.47
  4. Step 4: Simplify right side
    3,502.69x = 27,883,350.22
  5. Step 5: Solve for x
    x = 27,883,350.22/3,502.69
  6. Step 6: Final answer
    x = 7,960.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.