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Finding the Third Proportional to 3,971.74 and 8,737.03

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Solution

The third proportional to 3,971.74 and 8,737.03 is: 19,219.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.74 : 8,737.03 = 8,737.03 : x
  2. Step 2: Convert to fraction form
    3,971.74/8,737.03 = 8,737.03/x
  3. Step 3: Cross multiply
    3,971.74x = 8,737.03 × 8,737.03
  4. Step 4: Simplify right side
    3,971.74x = 76,335,715.06
  5. Step 5: Solve for x
    x = 76,335,715.06/3,971.74
  6. Step 6: Final answer
    x = 19,219.71

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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.