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Finding the Third Proportional to 4,331.53 and 6,720.19

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Solution

The third proportional to 4,331.53 and 6,720.19 is: 10,426.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,331.53 : 6,720.19 = 6,720.19 : x
  2. Step 2: Convert to fraction form
    4,331.53/6,720.19 = 6,720.19/x
  3. Step 3: Cross multiply
    4,331.53x = 6,720.19 × 6,720.19
  4. Step 4: Simplify right side
    4,331.53x = 45,160,920.04
  5. Step 5: Solve for x
    x = 45,160,920.04/4,331.53
  6. Step 6: Final answer
    x = 10,426.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.