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Finding the Third Proportional to 5,944 and 6,544

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Solution

The third proportional to 5,944 and 6,544 is: 7,204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944 : 6,544 = 6,544 : x
  2. Step 2: Convert to fraction form
    5,944/6,544 = 6,544/x
  3. Step 3: Cross multiply
    5,944x = 6,544 × 6,544
  4. Step 4: Simplify right side
    5,944x = 42,823,936
  5. Step 5: Solve for x
    x = 42,823,936/5,944
  6. Step 6: Final answer
    x = 7,204.57

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.