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Finding the Third Proportional to 38,019 and 80,955

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Solution

The third proportional to 38,019 and 80,955 is: 172,379.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,019 : 80,955 = 80,955 : x
  2. Step 2: Convert to fraction form
    38,019/80,955 = 80,955/x
  3. Step 3: Cross multiply
    38,019x = 80,955 × 80,955
  4. Step 4: Simplify right side
    38,019x = 6,553,712,025
  5. Step 5: Solve for x
    x = 6,553,712,025/38,019
  6. Step 6: Final answer
    x = 172,379.92

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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.