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Finding the Third Proportional to 38,993.06 and 62,778.38

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Solution

The third proportional to 38,993.06 and 62,778.38 is: 101,072.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,993.06 : 62,778.38 = 62,778.38 : x
  2. Step 2: Convert to fraction form
    38,993.06/62,778.38 = 62,778.38/x
  3. Step 3: Cross multiply
    38,993.06x = 62,778.38 × 62,778.38
  4. Step 4: Simplify right side
    38,993.06x = 3,941,124,367.64
  5. Step 5: Solve for x
    x = 3,941,124,367.64/38,993.06
  6. Step 6: Final answer
    x = 101,072.45

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.