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Finding the Third Proportional to 8,228.72 and 18,020.06

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Solution

The third proportional to 8,228.72 and 18,020.06 is: 39,462.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.72 : 18,020.06 = 18,020.06 : x
  2. Step 2: Convert to fraction form
    8,228.72/18,020.06 = 18,020.06/x
  3. Step 3: Cross multiply
    8,228.72x = 18,020.06 × 18,020.06
  4. Step 4: Simplify right side
    8,228.72x = 324,722,652.50
  5. Step 5: Solve for x
    x = 324,722,652.50/8,228.72
  6. Step 6: Final answer
    x = 39,462.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.