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Finding the Third Proportional to 2,686.92 and 4,024.69

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Solution

The third proportional to 2,686.92 and 4,024.69 is: 6,028.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.92 : 4,024.69 = 4,024.69 : x
  2. Step 2: Convert to fraction form
    2,686.92/4,024.69 = 4,024.69/x
  3. Step 3: Cross multiply
    2,686.92x = 4,024.69 × 4,024.69
  4. Step 4: Simplify right side
    2,686.92x = 16,198,109.47
  5. Step 5: Solve for x
    x = 16,198,109.47/2,686.92
  6. Step 6: Final answer
    x = 6,028.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.