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Finding the Third Proportional to 26,789.75 and 40,427.50

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Solution

The third proportional to 26,789.75 and 40,427.50 is: 61,007.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,789.75 : 40,427.50 = 40,427.50 : x
  2. Step 2: Convert to fraction form
    26,789.75/40,427.50 = 40,427.50/x
  3. Step 3: Cross multiply
    26,789.75x = 40,427.50 × 40,427.50
  4. Step 4: Simplify right side
    26,789.75x = 1,634,382,756.25
  5. Step 5: Solve for x
    x = 1,634,382,756.25/26,789.75
  6. Step 6: Final answer
    x = 61,007.76

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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.