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Finding the Third Proportional to 27,164.75 and 43,224.25

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Solution

The third proportional to 27,164.75 and 43,224.25 is: 68,777.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,164.75 : 43,224.25 = 43,224.25 : x
  2. Step 2: Convert to fraction form
    27,164.75/43,224.25 = 43,224.25/x
  3. Step 3: Cross multiply
    27,164.75x = 43,224.25 × 43,224.25
  4. Step 4: Simplify right side
    27,164.75x = 1,868,335,788.06
  5. Step 5: Solve for x
    x = 1,868,335,788.06/27,164.75
  6. Step 6: Final answer
    x = 68,777.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.