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Finding the Third Proportional to 12,717.75 and 25,780.50

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Solution

The third proportional to 12,717.75 and 25,780.50 is: 52,260.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,717.75 : 25,780.50 = 25,780.50 : x
  2. Step 2: Convert to fraction form
    12,717.75/25,780.50 = 25,780.50/x
  3. Step 3: Cross multiply
    12,717.75x = 25,780.50 × 25,780.50
  4. Step 4: Simplify right side
    12,717.75x = 664,634,180.25
  5. Step 5: Solve for x
    x = 664,634,180.25/12,717.75
  6. Step 6: Final answer
    x = 52,260.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.