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Finding the Third Proportional to 5,006 and 5,546

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Solution

The third proportional to 5,006 and 5,546 is: 6,144.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006 : 5,546 = 5,546 : x
  2. Step 2: Convert to fraction form
    5,006/5,546 = 5,546/x
  3. Step 3: Cross multiply
    5,006x = 5,546 × 5,546
  4. Step 4: Simplify right side
    5,006x = 30,758,116
  5. Step 5: Solve for x
    x = 30,758,116/5,006
  6. Step 6: Final answer
    x = 6,144.25

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.