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Finding the Third Proportional to 4,767 and 5,523

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Solution

The third proportional to 4,767 and 5,523 is: 6,398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767 : 5,523 = 5,523 : x
  2. Step 2: Convert to fraction form
    4,767/5,523 = 5,523/x
  3. Step 3: Cross multiply
    4,767x = 5,523 × 5,523
  4. Step 4: Simplify right side
    4,767x = 30,503,529
  5. Step 5: Solve for x
    x = 30,503,529/4,767
  6. Step 6: Final answer
    x = 6,398.89

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.