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Finding the Third Proportional to 10,000.69 and 16,109.44

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Solution

The third proportional to 10,000.69 and 16,109.44 is: 25,949.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.69 : 16,109.44 = 16,109.44 : x
  2. Step 2: Convert to fraction form
    10,000.69/16,109.44 = 16,109.44/x
  3. Step 3: Cross multiply
    10,000.69x = 16,109.44 × 16,109.44
  4. Step 4: Simplify right side
    10,000.69x = 259,513,976.57
  5. Step 5: Solve for x
    x = 259,513,976.57/10,000.69
  6. Step 6: Final answer
    x = 25,949.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.