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Finding the Third Proportional to 5,746 and 6,226

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Solution

The third proportional to 5,746 and 6,226 is: 6,746.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746 : 6,226 = 6,226 : x
  2. Step 2: Convert to fraction form
    5,746/6,226 = 6,226/x
  3. Step 3: Cross multiply
    5,746x = 6,226 × 6,226
  4. Step 4: Simplify right side
    5,746x = 38,763,076
  5. Step 5: Solve for x
    x = 38,763,076/5,746
  6. Step 6: Final answer
    x = 6,746.10

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.