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Finding the Third Proportional to 5,751.88 and 8,097.88

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Solution

The third proportional to 5,751.88 and 8,097.88 is: 11,400.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.88 : 8,097.88 = 8,097.88 : x
  2. Step 2: Convert to fraction form
    5,751.88/8,097.88 = 8,097.88/x
  3. Step 3: Cross multiply
    5,751.88x = 8,097.88 × 8,097.88
  4. Step 4: Simplify right side
    5,751.88x = 65,575,579.52
  5. Step 5: Solve for x
    x = 65,575,579.52/5,751.88
  6. Step 6: Final answer
    x = 11,400.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.