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Finding the Third Proportional to 8,624.25 and 20,801.25

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Solution

The third proportional to 8,624.25 and 20,801.25 is: 50,171.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,624.25 : 20,801.25 = 20,801.25 : x
  2. Step 2: Convert to fraction form
    8,624.25/20,801.25 = 20,801.25/x
  3. Step 3: Cross multiply
    8,624.25x = 20,801.25 × 20,801.25
  4. Step 4: Simplify right side
    8,624.25x = 432,692,001.56
  5. Step 5: Solve for x
    x = 432,692,001.56/8,624.25
  6. Step 6: Final answer
    x = 50,171.55

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.