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Finding the Third Proportional to 3,184 and 4,744

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Solution

The third proportional to 3,184 and 4,744 is: 7,068.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184 : 4,744 = 4,744 : x
  2. Step 2: Convert to fraction form
    3,184/4,744 = 4,744/x
  3. Step 3: Cross multiply
    3,184x = 4,744 × 4,744
  4. Step 4: Simplify right side
    3,184x = 22,505,536
  5. Step 5: Solve for x
    x = 22,505,536/3,184
  6. Step 6: Final answer
    x = 7,068.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.