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Finding the Third Proportional to 2,614.15 and 5,305.18

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Solution

The third proportional to 2,614.15 and 5,305.18 is: 10,766.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.15 : 5,305.18 = 5,305.18 : x
  2. Step 2: Convert to fraction form
    2,614.15/5,305.18 = 5,305.18/x
  3. Step 3: Cross multiply
    2,614.15x = 5,305.18 × 5,305.18
  4. Step 4: Simplify right side
    2,614.15x = 28,144,972.96
  5. Step 5: Solve for x
    x = 28,144,972.96/2,614.15
  6. Step 6: Final answer
    x = 10,766.40

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.