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Finding the Third Proportional to 33,536 and 36,224

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Solution

The third proportional to 33,536 and 36,224 is: 39,127.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,536 : 36,224 = 36,224 : x
  2. Step 2: Convert to fraction form
    33,536/36,224 = 36,224/x
  3. Step 3: Cross multiply
    33,536x = 36,224 × 36,224
  4. Step 4: Simplify right side
    33,536x = 1,312,178,176
  5. Step 5: Solve for x
    x = 1,312,178,176/33,536
  6. Step 6: Final answer
    x = 39,127.45

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.