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Finding the Third Proportional to 38,472 and 86,823

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Solution

The third proportional to 38,472 and 86,823 is: 195,940.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,472 : 86,823 = 86,823 : x
  2. Step 2: Convert to fraction form
    38,472/86,823 = 86,823/x
  3. Step 3: Cross multiply
    38,472x = 86,823 × 86,823
  4. Step 4: Simplify right side
    38,472x = 7,538,233,329
  5. Step 5: Solve for x
    x = 7,538,233,329/38,472
  6. Step 6: Final answer
    x = 195,940.77

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.