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Finding the Third Proportional to 5,082 and 6,649

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Solution

The third proportional to 5,082 and 6,649 is: 8,699.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082 : 6,649 = 6,649 : x
  2. Step 2: Convert to fraction form
    5,082/6,649 = 6,649/x
  3. Step 3: Cross multiply
    5,082x = 6,649 × 6,649
  4. Step 4: Simplify right side
    5,082x = 44,209,201
  5. Step 5: Solve for x
    x = 44,209,201/5,082
  6. Step 6: Final answer
    x = 8,699.17

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.