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Finding the Third Proportional to 4,904 and 7,799

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Solution

The third proportional to 4,904 and 7,799 is: 12,403.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904 : 7,799 = 7,799 : x
  2. Step 2: Convert to fraction form
    4,904/7,799 = 7,799/x
  3. Step 3: Cross multiply
    4,904x = 7,799 × 7,799
  4. Step 4: Simplify right side
    4,904x = 60,824,401
  5. Step 5: Solve for x
    x = 60,824,401/4,904
  6. Step 6: Final answer
    x = 12,403.02

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.