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Finding the Third Proportional to 3,938.06 and 5,608.69

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Solution

The third proportional to 3,938.06 and 5,608.69 is: 7,988.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.06 : 5,608.69 = 5,608.69 : x
  2. Step 2: Convert to fraction form
    3,938.06/5,608.69 = 5,608.69/x
  3. Step 3: Cross multiply
    3,938.06x = 5,608.69 × 5,608.69
  4. Step 4: Simplify right side
    3,938.06x = 31,457,375.47
  5. Step 5: Solve for x
    x = 31,457,375.47/3,938.06
  6. Step 6: Final answer
    x = 7,988.03

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.