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Finding the Third Proportional to 33,636.38 and 71,372.81

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Solution

The third proportional to 33,636.38 and 71,372.81 is: 151,445.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,636.38 : 71,372.81 = 71,372.81 : x
  2. Step 2: Convert to fraction form
    33,636.38/71,372.81 = 71,372.81/x
  3. Step 3: Cross multiply
    33,636.38x = 71,372.81 × 71,372.81
  4. Step 4: Simplify right side
    33,636.38x = 5,094,078,364.16
  5. Step 5: Solve for x
    x = 5,094,078,364.16/33,636.38
  6. Step 6: Final answer
    x = 151,445.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.