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Finding the Third Proportional to 27,194 and 42,022

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Solution

The third proportional to 27,194 and 42,022 is: 64,935.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,194 : 42,022 = 42,022 : x
  2. Step 2: Convert to fraction form
    27,194/42,022 = 42,022/x
  3. Step 3: Cross multiply
    27,194x = 42,022 × 42,022
  4. Step 4: Simplify right side
    27,194x = 1,765,848,484
  5. Step 5: Solve for x
    x = 1,765,848,484/27,194
  6. Step 6: Final answer
    x = 64,935.22

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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.