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Finding the Third Proportional to 3,471.29 and 5,655.45

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Solution

The third proportional to 3,471.29 and 5,655.45 is: 9,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.29 : 5,655.45 = 5,655.45 : x
  2. Step 2: Convert to fraction form
    3,471.29/5,655.45 = 5,655.45/x
  3. Step 3: Cross multiply
    3,471.29x = 5,655.45 × 5,655.45
  4. Step 4: Simplify right side
    3,471.29x = 31,984,061.68
  5. Step 5: Solve for x
    x = 31,984,061.68/3,471.29
  6. Step 6: Final answer
    x = 9,213.88

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.