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Finding the Third Proportional to 3,226.13 and 4,542.94

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Solution

The third proportional to 3,226.13 and 4,542.94 is: 6,397.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.13 : 4,542.94 = 4,542.94 : x
  2. Step 2: Convert to fraction form
    3,226.13/4,542.94 = 4,542.94/x
  3. Step 3: Cross multiply
    3,226.13x = 4,542.94 × 4,542.94
  4. Step 4: Simplify right side
    3,226.13x = 20,638,281.13
  5. Step 5: Solve for x
    x = 20,638,281.13/3,226.13
  6. Step 6: Final answer
    x = 6,397.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.