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Finding the Third Proportional to 2,685.66 and 4,075.31

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Solution

The third proportional to 2,685.66 and 4,075.31 is: 6,184.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.66 : 4,075.31 = 4,075.31 : x
  2. Step 2: Convert to fraction form
    2,685.66/4,075.31 = 4,075.31/x
  3. Step 3: Cross multiply
    2,685.66x = 4,075.31 × 4,075.31
  4. Step 4: Simplify right side
    2,685.66x = 16,608,171.97
  5. Step 5: Solve for x
    x = 16,608,171.97/2,685.66
  6. Step 6: Final answer
    x = 6,184.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.