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Finding the Third Proportional to 33,926.50 and 48,156

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Solution

The third proportional to 33,926.50 and 48,156 is: 68,353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,926.50 : 48,156 = 48,156 : x
  2. Step 2: Convert to fraction form
    33,926.50/48,156 = 48,156/x
  3. Step 3: Cross multiply
    33,926.50x = 48,156 × 48,156
  4. Step 4: Simplify right side
    33,926.50x = 2,319,000,336
  5. Step 5: Solve for x
    x = 2,319,000,336/33,926.50
  6. Step 6: Final answer
    x = 68,353.66

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.