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Finding the Third Proportional to 3,812.06 and 8,117.72

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Solution

The third proportional to 3,812.06 and 8,117.72 is: 17,286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.06 : 8,117.72 = 8,117.72 : x
  2. Step 2: Convert to fraction form
    3,812.06/8,117.72 = 8,117.72/x
  3. Step 3: Cross multiply
    3,812.06x = 8,117.72 × 8,117.72
  4. Step 4: Simplify right side
    3,812.06x = 65,897,357.70
  5. Step 5: Solve for x
    x = 65,897,357.70/3,812.06
  6. Step 6: Final answer
    x = 17,286.54

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.