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Finding the Third Proportional to 16,471.75 and 35,267

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Solution

The third proportional to 16,471.75 and 35,267 is: 75,508.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471.75 : 35,267 = 35,267 : x
  2. Step 2: Convert to fraction form
    16,471.75/35,267 = 35,267/x
  3. Step 3: Cross multiply
    16,471.75x = 35,267 × 35,267
  4. Step 4: Simplify right side
    16,471.75x = 1,243,761,289
  5. Step 5: Solve for x
    x = 1,243,761,289/16,471.75
  6. Step 6: Final answer
    x = 75,508.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.