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Finding the Third Proportional to 38,110 and 83,761

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Solution

The third proportional to 38,110 and 83,761 is: 184,096.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,110 : 83,761 = 83,761 : x
  2. Step 2: Convert to fraction form
    38,110/83,761 = 83,761/x
  3. Step 3: Cross multiply
    38,110x = 83,761 × 83,761
  4. Step 4: Simplify right side
    38,110x = 7,015,905,121
  5. Step 5: Solve for x
    x = 7,015,905,121/38,110
  6. Step 6: Final answer
    x = 184,096.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.