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Finding the Third Proportional to 3,543.56 and 7,724.81

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Solution

The third proportional to 3,543.56 and 7,724.81 is: 16,839.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.56 : 7,724.81 = 7,724.81 : x
  2. Step 2: Convert to fraction form
    3,543.56/7,724.81 = 7,724.81/x
  3. Step 3: Cross multiply
    3,543.56x = 7,724.81 × 7,724.81
  4. Step 4: Simplify right side
    3,543.56x = 59,672,728.16
  5. Step 5: Solve for x
    x = 59,672,728.16/3,543.56
  6. Step 6: Final answer
    x = 16,839.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.