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Finding the Third Proportional to 27,822.66 and 43,145.16

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Solution

The third proportional to 27,822.66 and 43,145.16 is: 66,906.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,822.66 : 43,145.16 = 43,145.16 : x
  2. Step 2: Convert to fraction form
    27,822.66/43,145.16 = 43,145.16/x
  3. Step 3: Cross multiply
    27,822.66x = 43,145.16 × 43,145.16
  4. Step 4: Simplify right side
    27,822.66x = 1,861,504,507.84
  5. Step 5: Solve for x
    x = 1,861,504,507.84/27,822.66
  6. Step 6: Final answer
    x = 66,906.07

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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.