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Finding the Third Proportional to 4,659 and 5,469

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Solution

The third proportional to 4,659 and 5,469 is: 6,419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659 : 5,469 = 5,469 : x
  2. Step 2: Convert to fraction form
    4,659/5,469 = 5,469/x
  3. Step 3: Cross multiply
    4,659x = 5,469 × 5,469
  4. Step 4: Simplify right side
    4,659x = 29,909,961
  5. Step 5: Solve for x
    x = 29,909,961/4,659
  6. Step 6: Final answer
    x = 6,419.82

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.