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Finding the Third Proportional to 38,112 and 84,966

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Solution

The third proportional to 38,112 and 84,966 is: 189,421.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,112 : 84,966 = 84,966 : x
  2. Step 2: Convert to fraction form
    38,112/84,966 = 84,966/x
  3. Step 3: Cross multiply
    38,112x = 84,966 × 84,966
  4. Step 4: Simplify right side
    38,112x = 7,219,221,156
  5. Step 5: Solve for x
    x = 7,219,221,156/38,112
  6. Step 6: Final answer
    x = 189,421.21

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.