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Finding the Third Proportional to 38,344.50 and 80,145

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Solution

The third proportional to 38,344.50 and 80,145 is: 167,513.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,344.50 : 80,145 = 80,145 : x
  2. Step 2: Convert to fraction form
    38,344.50/80,145 = 80,145/x
  3. Step 3: Cross multiply
    38,344.50x = 80,145 × 80,145
  4. Step 4: Simplify right side
    38,344.50x = 6,423,221,025
  5. Step 5: Solve for x
    x = 6,423,221,025/38,344.50
  6. Step 6: Final answer
    x = 167,513.49

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.