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Finding the Third Proportional to 5,734.38 and 8,075.31

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Solution

The third proportional to 5,734.38 and 8,075.31 is: 11,371.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.38 : 8,075.31 = 8,075.31 : x
  2. Step 2: Convert to fraction form
    5,734.38/8,075.31 = 8,075.31/x
  3. Step 3: Cross multiply
    5,734.38x = 8,075.31 × 8,075.31
  4. Step 4: Simplify right side
    5,734.38x = 65,210,671.97
  5. Step 5: Solve for x
    x = 65,210,671.97/5,734.38
  6. Step 6: Final answer
    x = 11,371.89

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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.