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Finding the Third Proportional to 8,065.50 and 16,701

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Solution

The third proportional to 8,065.50 and 16,701 is: 34,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065.50 : 16,701 = 16,701 : x
  2. Step 2: Convert to fraction form
    8,065.50/16,701 = 16,701/x
  3. Step 3: Cross multiply
    8,065.50x = 16,701 × 16,701
  4. Step 4: Simplify right side
    8,065.50x = 278,923,401
  5. Step 5: Solve for x
    x = 278,923,401/8,065.50
  6. Step 6: Final answer
    x = 34,582.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.