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Finding the Third Proportional to 33,822 and 53,865

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Solution

The third proportional to 33,822 and 53,865 is: 85,785.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,822 : 53,865 = 53,865 : x
  2. Step 2: Convert to fraction form
    33,822/53,865 = 53,865/x
  3. Step 3: Cross multiply
    33,822x = 53,865 × 53,865
  4. Step 4: Simplify right side
    33,822x = 2,901,438,225
  5. Step 5: Solve for x
    x = 2,901,438,225/33,822
  6. Step 6: Final answer
    x = 85,785.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.