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Finding the Third Proportional to 33,178 and 48,799

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Solution

The third proportional to 33,178 and 48,799 is: 71,774.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,178 : 48,799 = 48,799 : x
  2. Step 2: Convert to fraction form
    33,178/48,799 = 48,799/x
  3. Step 3: Cross multiply
    33,178x = 48,799 × 48,799
  4. Step 4: Simplify right side
    33,178x = 2,381,342,401
  5. Step 5: Solve for x
    x = 2,381,342,401/33,178
  6. Step 6: Final answer
    x = 71,774.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.