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Finding the Third Proportional to 33,711 and 48,558

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Solution

The third proportional to 33,711 and 48,558 is: 69,943.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,711 : 48,558 = 48,558 : x
  2. Step 2: Convert to fraction form
    33,711/48,558 = 48,558/x
  3. Step 3: Cross multiply
    33,711x = 48,558 × 48,558
  4. Step 4: Simplify right side
    33,711x = 2,357,879,364
  5. Step 5: Solve for x
    x = 2,357,879,364/33,711
  6. Step 6: Final answer
    x = 69,943.92

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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.