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Finding the Third Proportional to 3,862.69 and 7,731.07

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Solution

The third proportional to 3,862.69 and 7,731.07 is: 15,473.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.69 : 7,731.07 = 7,731.07 : x
  2. Step 2: Convert to fraction form
    3,862.69/7,731.07 = 7,731.07/x
  3. Step 3: Cross multiply
    3,862.69x = 7,731.07 × 7,731.07
  4. Step 4: Simplify right side
    3,862.69x = 59,769,448.18
  5. Step 5: Solve for x
    x = 59,769,448.18/3,862.69
  6. Step 6: Final answer
    x = 15,473.54

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These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.