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Finding the Third Proportional to 26,371.50 and 35,227.50

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Solution

The third proportional to 26,371.50 and 35,227.50 is: 47,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,371.50 : 35,227.50 = 35,227.50 : x
  2. Step 2: Convert to fraction form
    26,371.50/35,227.50 = 35,227.50/x
  3. Step 3: Cross multiply
    26,371.50x = 35,227.50 × 35,227.50
  4. Step 4: Simplify right side
    26,371.50x = 1,240,976,756.25
  5. Step 5: Solve for x
    x = 1,240,976,756.25/26,371.50
  6. Step 6: Final answer
    x = 47,057.50

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.