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Finding the Third Proportional to 4,057.31 and 5,509.97

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Solution

The third proportional to 4,057.31 and 5,509.97 is: 7,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.31 : 5,509.97 = 5,509.97 : x
  2. Step 2: Convert to fraction form
    4,057.31/5,509.97 = 5,509.97/x
  3. Step 3: Cross multiply
    4,057.31x = 5,509.97 × 5,509.97
  4. Step 4: Simplify right side
    4,057.31x = 30,359,755.63
  5. Step 5: Solve for x
    x = 30,359,755.63/4,057.31
  6. Step 6: Final answer
    x = 7,482.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.