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Finding the Third Proportional to 8,262 and 17,340.75

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Solution

The third proportional to 8,262 and 17,340.75 is: 36,395.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262 : 17,340.75 = 17,340.75 : x
  2. Step 2: Convert to fraction form
    8,262/17,340.75 = 17,340.75/x
  3. Step 3: Cross multiply
    8,262x = 17,340.75 × 17,340.75
  4. Step 4: Simplify right side
    8,262x = 300,701,610.56
  5. Step 5: Solve for x
    x = 300,701,610.56/8,262
  6. Step 6: Final answer
    x = 36,395.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.