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Finding the Third Proportional to 27,383.06 and 58,297.22

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Solution

The third proportional to 27,383.06 and 58,297.22 is: 124,111.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,383.06 : 58,297.22 = 58,297.22 : x
  2. Step 2: Convert to fraction form
    27,383.06/58,297.22 = 58,297.22/x
  3. Step 3: Cross multiply
    27,383.06x = 58,297.22 × 58,297.22
  4. Step 4: Simplify right side
    27,383.06x = 3,398,565,713.99
  5. Step 5: Solve for x
    x = 3,398,565,713.99/27,383.06
  6. Step 6: Final answer
    x = 124,111.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.