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Finding the Third Proportional to 38,661 and 82,423.50

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Solution

The third proportional to 38,661 and 82,423.50 is: 175,723.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,661 : 82,423.50 = 82,423.50 : x
  2. Step 2: Convert to fraction form
    38,661/82,423.50 = 82,423.50/x
  3. Step 3: Cross multiply
    38,661x = 82,423.50 × 82,423.50
  4. Step 4: Simplify right side
    38,661x = 6,793,633,352.25
  5. Step 5: Solve for x
    x = 6,793,633,352.25/38,661
  6. Step 6: Final answer
    x = 175,723.17

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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.