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Finding the Third Proportional to 8,022.38 and 10,646.44

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Solution

The third proportional to 8,022.38 and 10,646.44 is: 14,128.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.38 : 10,646.44 = 10,646.44 : x
  2. Step 2: Convert to fraction form
    8,022.38/10,646.44 = 10,646.44/x
  3. Step 3: Cross multiply
    8,022.38x = 10,646.44 × 10,646.44
  4. Step 4: Simplify right side
    8,022.38x = 113,346,631.44
  5. Step 5: Solve for x
    x = 113,346,631.44/8,022.38
  6. Step 6: Final answer
    x = 14,128.81

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.