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Finding the Third Proportional to 3,994.88 and 6,253.88

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Solution

The third proportional to 3,994.88 and 6,253.88 is: 9,790.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.88 : 6,253.88 = 6,253.88 : x
  2. Step 2: Convert to fraction form
    3,994.88/6,253.88 = 6,253.88/x
  3. Step 3: Cross multiply
    3,994.88x = 6,253.88 × 6,253.88
  4. Step 4: Simplify right side
    3,994.88x = 39,110,952.52
  5. Step 5: Solve for x
    x = 39,110,952.52/3,994.88
  6. Step 6: Final answer
    x = 9,790.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.