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Finding the Third Proportional to 3,648 and 5,344

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Solution

The third proportional to 3,648 and 5,344 is: 7,828.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648 : 5,344 = 5,344 : x
  2. Step 2: Convert to fraction form
    3,648/5,344 = 5,344/x
  3. Step 3: Cross multiply
    3,648x = 5,344 × 5,344
  4. Step 4: Simplify right side
    3,648x = 28,558,336
  5. Step 5: Solve for x
    x = 28,558,336/3,648
  6. Step 6: Final answer
    x = 7,828.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.