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Finding the Third Proportional to 38,161 and 56,138

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Solution

The third proportional to 38,161 and 56,138 is: 82,583.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,161 : 56,138 = 56,138 : x
  2. Step 2: Convert to fraction form
    38,161/56,138 = 56,138/x
  3. Step 3: Cross multiply
    38,161x = 56,138 × 56,138
  4. Step 4: Simplify right side
    38,161x = 3,151,475,044
  5. Step 5: Solve for x
    x = 3,151,475,044/38,161
  6. Step 6: Final answer
    x = 82,583.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.