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Finding the Third Proportional to 8,162.25 and 12,972.75

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Solution

The third proportional to 8,162.25 and 12,972.75 is: 20,618.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.25 : 12,972.75 = 12,972.75 : x
  2. Step 2: Convert to fraction form
    8,162.25/12,972.75 = 12,972.75/x
  3. Step 3: Cross multiply
    8,162.25x = 12,972.75 × 12,972.75
  4. Step 4: Simplify right side
    8,162.25x = 168,292,242.56
  5. Step 5: Solve for x
    x = 168,292,242.56/8,162.25
  6. Step 6: Final answer
    x = 20,618.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.