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Finding the Third Proportional to 12,231 and 26,238.75

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Solution

The third proportional to 12,231 and 26,238.75 is: 56,289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231 : 26,238.75 = 26,238.75 : x
  2. Step 2: Convert to fraction form
    12,231/26,238.75 = 26,238.75/x
  3. Step 3: Cross multiply
    12,231x = 26,238.75 × 26,238.75
  4. Step 4: Simplify right side
    12,231x = 688,472,001.56
  5. Step 5: Solve for x
    x = 688,472,001.56/12,231
  6. Step 6: Final answer
    x = 56,289.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.