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Finding the Third Proportional to 21,081 and 45,881

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Solution

The third proportional to 21,081 and 45,881 is: 99,856.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,081 : 45,881 = 45,881 : x
  2. Step 2: Convert to fraction form
    21,081/45,881 = 45,881/x
  3. Step 3: Cross multiply
    21,081x = 45,881 × 45,881
  4. Step 4: Simplify right side
    21,081x = 2,105,066,161
  5. Step 5: Solve for x
    x = 2,105,066,161/21,081
  6. Step 6: Final answer
    x = 99,856.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.