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Finding the Third Proportional to 8,275 and 16,135

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Solution

The third proportional to 8,275 and 16,135 is: 31,460.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275 : 16,135 = 16,135 : x
  2. Step 2: Convert to fraction form
    8,275/16,135 = 16,135/x
  3. Step 3: Cross multiply
    8,275x = 16,135 × 16,135
  4. Step 4: Simplify right side
    8,275x = 260,338,225
  5. Step 5: Solve for x
    x = 260,338,225/8,275
  6. Step 6: Final answer
    x = 31,460.81

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.