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Finding the Third Proportional to 3,872.81 and 8,953.03

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Solution

The third proportional to 3,872.81 and 8,953.03 is: 20,697.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.81 : 8,953.03 = 8,953.03 : x
  2. Step 2: Convert to fraction form
    3,872.81/8,953.03 = 8,953.03/x
  3. Step 3: Cross multiply
    3,872.81x = 8,953.03 × 8,953.03
  4. Step 4: Simplify right side
    3,872.81x = 80,156,768.56
  5. Step 5: Solve for x
    x = 80,156,768.56/3,872.81
  6. Step 6: Final answer
    x = 20,697.30

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.