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Finding the Third Proportional to 2,689.31 and 3,114.56

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Solution

The third proportional to 2,689.31 and 3,114.56 is: 3,607.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.31 : 3,114.56 = 3,114.56 : x
  2. Step 2: Convert to fraction form
    2,689.31/3,114.56 = 3,114.56/x
  3. Step 3: Cross multiply
    2,689.31x = 3,114.56 × 3,114.56
  4. Step 4: Simplify right side
    2,689.31x = 9,700,499.57
  5. Step 5: Solve for x
    x = 9,700,499.57/2,689.31
  6. Step 6: Final answer
    x = 3,607.06

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.