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Finding the Third Proportional to 33,814 and 48,706

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Solution

The third proportional to 33,814 and 48,706 is: 70,156.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,814 : 48,706 = 48,706 : x
  2. Step 2: Convert to fraction form
    33,814/48,706 = 48,706/x
  3. Step 3: Cross multiply
    33,814x = 48,706 × 48,706
  4. Step 4: Simplify right side
    33,814x = 2,372,274,436
  5. Step 5: Solve for x
    x = 2,372,274,436/33,814
  6. Step 6: Final answer
    x = 70,156.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.