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Finding the Third Proportional to 8,648.09 and 12,972.23

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Solution

The third proportional to 8,648.09 and 12,972.23 is: 19,458.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.09 : 12,972.23 = 12,972.23 : x
  2. Step 2: Convert to fraction form
    8,648.09/12,972.23 = 12,972.23/x
  3. Step 3: Cross multiply
    8,648.09x = 12,972.23 × 12,972.23
  4. Step 4: Simplify right side
    8,648.09x = 168,278,864.68
  5. Step 5: Solve for x
    x = 168,278,864.68/8,648.09
  6. Step 6: Final answer
    x = 19,458.51

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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.