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Finding the Third Proportional to 2,032.59 and 4,224.66

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Solution

The third proportional to 2,032.59 and 4,224.66 is: 8,780.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.59 : 4,224.66 = 4,224.66 : x
  2. Step 2: Convert to fraction form
    2,032.59/4,224.66 = 4,224.66/x
  3. Step 3: Cross multiply
    2,032.59x = 4,224.66 × 4,224.66
  4. Step 4: Simplify right side
    2,032.59x = 17,847,720.43
  5. Step 5: Solve for x
    x = 17,847,720.43/2,032.59
  6. Step 6: Final answer
    x = 8,780.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.