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Finding the Third Proportional to 12,738.50 and 26,043.88

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Solution

The third proportional to 12,738.50 and 26,043.88 is: 53,246.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,738.50 : 26,043.88 = 26,043.88 : x
  2. Step 2: Convert to fraction form
    12,738.50/26,043.88 = 26,043.88/x
  3. Step 3: Cross multiply
    12,738.50x = 26,043.88 × 26,043.88
  4. Step 4: Simplify right side
    12,738.50x = 678,283,425.02
  5. Step 5: Solve for x
    x = 678,283,425.02/12,738.50
  6. Step 6: Final answer
    x = 53,246.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.