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Finding the Third Proportional to 7,744 and 10,232

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Solution

The third proportional to 7,744 and 10,232 is: 13,519.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744 : 10,232 = 10,232 : x
  2. Step 2: Convert to fraction form
    7,744/10,232 = 10,232/x
  3. Step 3: Cross multiply
    7,744x = 10,232 × 10,232
  4. Step 4: Simplify right side
    7,744x = 104,693,824
  5. Step 5: Solve for x
    x = 104,693,824/7,744
  6. Step 6: Final answer
    x = 13,519.35

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.