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Finding the Third Proportional to 5,796 and 6,468

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Solution

The third proportional to 5,796 and 6,468 is: 7,217.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796 : 6,468 = 6,468 : x
  2. Step 2: Convert to fraction form
    5,796/6,468 = 6,468/x
  3. Step 3: Cross multiply
    5,796x = 6,468 × 6,468
  4. Step 4: Simplify right side
    5,796x = 41,835,024
  5. Step 5: Solve for x
    x = 41,835,024/5,796
  6. Step 6: Final answer
    x = 7,217.91

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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.