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Finding the Third Proportional to 38,636.79 and 82,376.79

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Solution

The third proportional to 38,636.79 and 82,376.79 is: 175,634.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,636.79 : 82,376.79 = 82,376.79 : x
  2. Step 2: Convert to fraction form
    38,636.79/82,376.79 = 82,376.79/x
  3. Step 3: Cross multiply
    38,636.79x = 82,376.79 × 82,376.79
  4. Step 4: Simplify right side
    38,636.79x = 6,785,935,376.25
  5. Step 5: Solve for x
    x = 6,785,935,376.25/38,636.79
  6. Step 6: Final answer
    x = 175,634.04

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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.