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Finding the Third Proportional to 12,712.50 and 18,996.75

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Solution

The third proportional to 12,712.50 and 18,996.75 is: 28,387.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.50 : 18,996.75 = 18,996.75 : x
  2. Step 2: Convert to fraction form
    12,712.50/18,996.75 = 18,996.75/x
  3. Step 3: Cross multiply
    12,712.50x = 18,996.75 × 18,996.75
  4. Step 4: Simplify right side
    12,712.50x = 360,876,510.56
  5. Step 5: Solve for x
    x = 360,876,510.56/12,712.50
  6. Step 6: Final answer
    x = 28,387.53

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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.