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Finding the Third Proportional to 38,036 and 77,224

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Solution

The third proportional to 38,036 and 77,224 is: 156,786.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,036 : 77,224 = 77,224 : x
  2. Step 2: Convert to fraction form
    38,036/77,224 = 77,224/x
  3. Step 3: Cross multiply
    38,036x = 77,224 × 77,224
  4. Step 4: Simplify right side
    38,036x = 5,963,546,176
  5. Step 5: Solve for x
    x = 5,963,546,176/38,036
  6. Step 6: Final answer
    x = 156,786.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.