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Finding the Third Proportional to 6,919.80 and 10,841.03

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Solution

The third proportional to 6,919.80 and 10,841.03 is: 16,984.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,919.80 : 10,841.03 = 10,841.03 : x
  2. Step 2: Convert to fraction form
    6,919.80/10,841.03 = 10,841.03/x
  3. Step 3: Cross multiply
    6,919.80x = 10,841.03 × 10,841.03
  4. Step 4: Simplify right side
    6,919.80x = 117,527,873.87
  5. Step 5: Solve for x
    x = 117,527,873.87/6,919.80
  6. Step 6: Final answer
    x = 16,984.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.