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Finding the Third Proportional to 8,773.25 and 13,121.25

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Solution

The third proportional to 8,773.25 and 13,121.25 is: 19,624.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,773.25 : 13,121.25 = 13,121.25 : x
  2. Step 2: Convert to fraction form
    8,773.25/13,121.25 = 13,121.25/x
  3. Step 3: Cross multiply
    8,773.25x = 13,121.25 × 13,121.25
  4. Step 4: Simplify right side
    8,773.25x = 172,167,201.56
  5. Step 5: Solve for x
    x = 172,167,201.56/8,773.25
  6. Step 6: Final answer
    x = 19,624.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.