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Finding the Third Proportional to 3,265.31 and 3,837.38

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Solution

The third proportional to 3,265.31 and 3,837.38 is: 4,509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.31 : 3,837.38 = 3,837.38 : x
  2. Step 2: Convert to fraction form
    3,265.31/3,837.38 = 3,837.38/x
  3. Step 3: Cross multiply
    3,265.31x = 3,837.38 × 3,837.38
  4. Step 4: Simplify right side
    3,265.31x = 14,725,446.89
  5. Step 5: Solve for x
    x = 14,725,446.89/3,265.31
  6. Step 6: Final answer
    x = 4,509.66

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.