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Finding the Third Proportional to 5,747 and 6,341

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Solution

The third proportional to 5,747 and 6,341 is: 6,996.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747 : 6,341 = 6,341 : x
  2. Step 2: Convert to fraction form
    5,747/6,341 = 6,341/x
  3. Step 3: Cross multiply
    5,747x = 6,341 × 6,341
  4. Step 4: Simplify right side
    5,747x = 40,208,281
  5. Step 5: Solve for x
    x = 40,208,281/5,747
  6. Step 6: Final answer
    x = 6,996.39

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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.