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Finding the Third Proportional to 3,304.97 and 4,531.78

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Solution

The third proportional to 3,304.97 and 4,531.78 is: 6,213.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.97 : 4,531.78 = 4,531.78 : x
  2. Step 2: Convert to fraction form
    3,304.97/4,531.78 = 4,531.78/x
  3. Step 3: Cross multiply
    3,304.97x = 4,531.78 × 4,531.78
  4. Step 4: Simplify right side
    3,304.97x = 20,537,041.30
  5. Step 5: Solve for x
    x = 20,537,041.30/3,304.97
  6. Step 6: Final answer
    x = 6,213.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.