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Finding the Third Proportional to 4,367.25 and 5,821.88

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Solution

The third proportional to 4,367.25 and 5,821.88 is: 7,761.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,367.25 : 5,821.88 = 5,821.88 : x
  2. Step 2: Convert to fraction form
    4,367.25/5,821.88 = 5,821.88/x
  3. Step 3: Cross multiply
    4,367.25x = 5,821.88 × 5,821.88
  4. Step 4: Simplify right side
    4,367.25x = 33,894,228.52
  5. Step 5: Solve for x
    x = 33,894,228.52/4,367.25
  6. Step 6: Final answer
    x = 7,761.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.