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Finding the Third Proportional to 7,338.41 and 8,112.97

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Solution

The third proportional to 7,338.41 and 8,112.97 is: 8,969.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338.41 : 8,112.97 = 8,112.97 : x
  2. Step 2: Convert to fraction form
    7,338.41/8,112.97 = 8,112.97/x
  3. Step 3: Cross multiply
    7,338.41x = 8,112.97 × 8,112.97
  4. Step 4: Simplify right side
    7,338.41x = 65,820,325.32
  5. Step 5: Solve for x
    x = 65,820,325.32/7,338.41
  6. Step 6: Final answer
    x = 8,969.29

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.