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Finding the Third Proportional to 4,918 and 6,392

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Solution

The third proportional to 4,918 and 6,392 is: 8,307.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,918 : 6,392 = 6,392 : x
  2. Step 2: Convert to fraction form
    4,918/6,392 = 6,392/x
  3. Step 3: Cross multiply
    4,918x = 6,392 × 6,392
  4. Step 4: Simplify right side
    4,918x = 40,857,664
  5. Step 5: Solve for x
    x = 40,857,664/4,918
  6. Step 6: Final answer
    x = 8,307.78

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.