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Finding the Third Proportional to 26,275 and 39,685.25

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Solution

The third proportional to 26,275 and 39,685.25 is: 59,939.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,275 : 39,685.25 = 39,685.25 : x
  2. Step 2: Convert to fraction form
    26,275/39,685.25 = 39,685.25/x
  3. Step 3: Cross multiply
    26,275x = 39,685.25 × 39,685.25
  4. Step 4: Simplify right side
    26,275x = 1,574,919,067.56
  5. Step 5: Solve for x
    x = 1,574,919,067.56/26,275
  6. Step 6: Final answer
    x = 59,939.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.