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Finding the Third Proportional to 3,470.06 and 5,518.97

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Solution

The third proportional to 3,470.06 and 5,518.97 is: 8,777.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.06 : 5,518.97 = 5,518.97 : x
  2. Step 2: Convert to fraction form
    3,470.06/5,518.97 = 5,518.97/x
  3. Step 3: Cross multiply
    3,470.06x = 5,518.97 × 5,518.97
  4. Step 4: Simplify right side
    3,470.06x = 30,459,016.06
  5. Step 5: Solve for x
    x = 30,459,016.06/3,470.06
  6. Step 6: Final answer
    x = 8,777.66

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.