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Finding the Third Proportional to 2,689.88 and 4,043.25

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Solution

The third proportional to 2,689.88 and 4,043.25 is: 6,077.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.88 : 4,043.25 = 4,043.25 : x
  2. Step 2: Convert to fraction form
    2,689.88/4,043.25 = 4,043.25/x
  3. Step 3: Cross multiply
    2,689.88x = 4,043.25 × 4,043.25
  4. Step 4: Simplify right side
    2,689.88x = 16,347,870.56
  5. Step 5: Solve for x
    x = 16,347,870.56/2,689.88
  6. Step 6: Final answer
    x = 6,077.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.