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Finding the Third Proportional to 2,630.81 and 5,757.19

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Solution

The third proportional to 2,630.81 and 5,757.19 is: 12,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.81 : 5,757.19 = 5,757.19 : x
  2. Step 2: Convert to fraction form
    2,630.81/5,757.19 = 5,757.19/x
  3. Step 3: Cross multiply
    2,630.81x = 5,757.19 × 5,757.19
  4. Step 4: Simplify right side
    2,630.81x = 33,145,207.91
  5. Step 5: Solve for x
    x = 33,145,207.91/2,630.81
  6. Step 6: Final answer
    x = 12,598.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.