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Finding the Third Proportional to 5,216 and 5,824

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Solution

The third proportional to 5,216 and 5,824 is: 6,502.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216 : 5,824 = 5,824 : x
  2. Step 2: Convert to fraction form
    5,216/5,824 = 5,824/x
  3. Step 3: Cross multiply
    5,216x = 5,824 × 5,824
  4. Step 4: Simplify right side
    5,216x = 33,918,976
  5. Step 5: Solve for x
    x = 33,918,976/5,216
  6. Step 6: Final answer
    x = 6,502.87

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.