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Finding the Third Proportional to 2,089.13 and 2,517.75

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Solution

The third proportional to 2,089.13 and 2,517.75 is: 3,034.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.13 : 2,517.75 = 2,517.75 : x
  2. Step 2: Convert to fraction form
    2,089.13/2,517.75 = 2,517.75/x
  3. Step 3: Cross multiply
    2,089.13x = 2,517.75 × 2,517.75
  4. Step 4: Simplify right side
    2,089.13x = 6,339,065.06
  5. Step 5: Solve for x
    x = 6,339,065.06/2,089.13
  6. Step 6: Final answer
    x = 3,034.32

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.