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Finding the Third Proportional to 38,838 and 82,760

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Solution

The third proportional to 38,838 and 82,760 is: 176,353.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,838 : 82,760 = 82,760 : x
  2. Step 2: Convert to fraction form
    38,838/82,760 = 82,760/x
  3. Step 3: Cross multiply
    38,838x = 82,760 × 82,760
  4. Step 4: Simplify right side
    38,838x = 6,849,217,600
  5. Step 5: Solve for x
    x = 6,849,217,600/38,838
  6. Step 6: Final answer
    x = 176,353.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.