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Finding the Third Proportional to 3,513.38 and 7,724.25

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Solution

The third proportional to 3,513.38 and 7,724.25 is: 16,981.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.38 : 7,724.25 = 7,724.25 : x
  2. Step 2: Convert to fraction form
    3,513.38/7,724.25 = 7,724.25/x
  3. Step 3: Cross multiply
    3,513.38x = 7,724.25 × 7,724.25
  4. Step 4: Simplify right side
    3,513.38x = 59,664,038.06
  5. Step 5: Solve for x
    x = 59,664,038.06/3,513.38
  6. Step 6: Final answer
    x = 16,981.97

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.