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Finding the Third Proportional to 38,084 and 56,901

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Solution

The third proportional to 38,084 and 56,901 is: 85,015.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,084 : 56,901 = 56,901 : x
  2. Step 2: Convert to fraction form
    38,084/56,901 = 56,901/x
  3. Step 3: Cross multiply
    38,084x = 56,901 × 56,901
  4. Step 4: Simplify right side
    38,084x = 3,237,723,801
  5. Step 5: Solve for x
    x = 3,237,723,801/38,084
  6. Step 6: Final answer
    x = 85,015.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.