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Finding the Third Proportional to 1,908.88 and 3,139.07

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Solution

The third proportional to 1,908.88 and 3,139.07 is: 5,162.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.88 : 3,139.07 = 3,139.07 : x
  2. Step 2: Convert to fraction form
    1,908.88/3,139.07 = 3,139.07/x
  3. Step 3: Cross multiply
    1,908.88x = 3,139.07 × 3,139.07
  4. Step 4: Simplify right side
    1,908.88x = 9,853,737.90
  5. Step 5: Solve for x
    x = 9,853,737.90/1,908.88
  6. Step 6: Final answer
    x = 5,162.06

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.