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Finding the Third Proportional to 4,494.23 and 7,179.89

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Solution

The third proportional to 4,494.23 and 7,179.89 is: 11,470.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.23 : 7,179.89 = 7,179.89 : x
  2. Step 2: Convert to fraction form
    4,494.23/7,179.89 = 7,179.89/x
  3. Step 3: Cross multiply
    4,494.23x = 7,179.89 × 7,179.89
  4. Step 4: Simplify right side
    4,494.23x = 51,550,829.39
  5. Step 5: Solve for x
    x = 51,550,829.39/4,494.23
  6. Step 6: Final answer
    x = 11,470.44

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.