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Finding the Third Proportional to 3,952.13 and 5,560.31

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Solution

The third proportional to 3,952.13 and 5,560.31 is: 7,822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.13 : 5,560.31 = 5,560.31 : x
  2. Step 2: Convert to fraction form
    3,952.13/5,560.31 = 5,560.31/x
  3. Step 3: Cross multiply
    3,952.13x = 5,560.31 × 5,560.31
  4. Step 4: Simplify right side
    3,952.13x = 30,917,075.10
  5. Step 5: Solve for x
    x = 30,917,075.10/3,952.13
  6. Step 6: Final answer
    x = 7,822.90

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.