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Finding the Third Proportional to 8,231.63 and 12,256.31

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Solution

The third proportional to 8,231.63 and 12,256.31 is: 18,248.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.63 : 12,256.31 = 12,256.31 : x
  2. Step 2: Convert to fraction form
    8,231.63/12,256.31 = 12,256.31/x
  3. Step 3: Cross multiply
    8,231.63x = 12,256.31 × 12,256.31
  4. Step 4: Simplify right side
    8,231.63x = 150,217,196.10
  5. Step 5: Solve for x
    x = 150,217,196.10/8,231.63
  6. Step 6: Final answer
    x = 18,248.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.