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Finding the Third Proportional to 5,746 and 6,274

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Solution

The third proportional to 5,746 and 6,274 is: 6,850.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746 : 6,274 = 6,274 : x
  2. Step 2: Convert to fraction form
    5,746/6,274 = 6,274/x
  3. Step 3: Cross multiply
    5,746x = 6,274 × 6,274
  4. Step 4: Simplify right side
    5,746x = 39,363,076
  5. Step 5: Solve for x
    x = 39,363,076/5,746
  6. Step 6: Final answer
    x = 6,850.52

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.