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Finding the Third Proportional to 2,615.87 and 5,722.96

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Solution

The third proportional to 2,615.87 and 5,722.96 is: 12,520.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.87 : 5,722.96 = 5,722.96 : x
  2. Step 2: Convert to fraction form
    2,615.87/5,722.96 = 5,722.96/x
  3. Step 3: Cross multiply
    2,615.87x = 5,722.96 × 5,722.96
  4. Step 4: Simplify right side
    2,615.87x = 32,752,253.95
  5. Step 5: Solve for x
    x = 32,752,253.95/2,615.87
  6. Step 6: Final answer
    x = 12,520.60

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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.