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Finding the Third Proportional to 23,068 and 33,782

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Solution

The third proportional to 23,068 and 33,782 is: 49,472.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,068 : 33,782 = 33,782 : x
  2. Step 2: Convert to fraction form
    23,068/33,782 = 33,782/x
  3. Step 3: Cross multiply
    23,068x = 33,782 × 33,782
  4. Step 4: Simplify right side
    23,068x = 1,141,223,524
  5. Step 5: Solve for x
    x = 1,141,223,524/23,068
  6. Step 6: Final answer
    x = 49,472.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.