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Finding the Third Proportional to 2,203.88 and 2,917.69

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Solution

The third proportional to 2,203.88 and 2,917.69 is: 3,862.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.88 : 2,917.69 = 2,917.69 : x
  2. Step 2: Convert to fraction form
    2,203.88/2,917.69 = 2,917.69/x
  3. Step 3: Cross multiply
    2,203.88x = 2,917.69 × 2,917.69
  4. Step 4: Simplify right side
    2,203.88x = 8,512,900.35
  5. Step 5: Solve for x
    x = 8,512,900.35/2,203.88
  6. Step 6: Final answer
    x = 3,862.70

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.