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Finding the Third Proportional to 7,184 and 9,744

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Solution

The third proportional to 7,184 and 9,744 is: 13,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184 : 9,744 = 9,744 : x
  2. Step 2: Convert to fraction form
    7,184/9,744 = 9,744/x
  3. Step 3: Cross multiply
    7,184x = 9,744 × 9,744
  4. Step 4: Simplify right side
    7,184x = 94,945,536
  5. Step 5: Solve for x
    x = 94,945,536/7,184
  6. Step 6: Final answer
    x = 13,216.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.