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Finding the Third Proportional to 2,080.69 and 2,502.14

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Solution

The third proportional to 2,080.69 and 2,502.14 is: 3,008.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.69 : 2,502.14 = 2,502.14 : x
  2. Step 2: Convert to fraction form
    2,080.69/2,502.14 = 2,502.14/x
  3. Step 3: Cross multiply
    2,080.69x = 2,502.14 × 2,502.14
  4. Step 4: Simplify right side
    2,080.69x = 6,260,707.71
  5. Step 5: Solve for x
    x = 6,260,707.71/2,080.69
  6. Step 6: Final answer
    x = 3,008.96

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.