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Finding the Third Proportional to 27,781 and 43,022

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Solution

The third proportional to 27,781 and 43,022 is: 66,624.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,781 : 43,022 = 43,022 : x
  2. Step 2: Convert to fraction form
    27,781/43,022 = 43,022/x
  3. Step 3: Cross multiply
    27,781x = 43,022 × 43,022
  4. Step 4: Simplify right side
    27,781x = 1,850,892,484
  5. Step 5: Solve for x
    x = 1,850,892,484/27,781
  6. Step 6: Final answer
    x = 66,624.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.