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Finding the Third Proportional to 5,417 and 6,659

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Solution

The third proportional to 5,417 and 6,659 is: 8,185.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,417 : 6,659 = 6,659 : x
  2. Step 2: Convert to fraction form
    5,417/6,659 = 6,659/x
  3. Step 3: Cross multiply
    5,417x = 6,659 × 6,659
  4. Step 4: Simplify right side
    5,417x = 44,342,281
  5. Step 5: Solve for x
    x = 44,342,281/5,417
  6. Step 6: Final answer
    x = 8,185.76

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.