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Finding the Third Proportional to 27,020.25 and 42,393.38

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Solution

The third proportional to 27,020.25 and 42,393.38 is: 66,513.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,020.25 : 42,393.38 = 42,393.38 : x
  2. Step 2: Convert to fraction form
    27,020.25/42,393.38 = 42,393.38/x
  3. Step 3: Cross multiply
    27,020.25x = 42,393.38 × 42,393.38
  4. Step 4: Simplify right side
    27,020.25x = 1,797,198,243.89
  5. Step 5: Solve for x
    x = 1,797,198,243.89/27,020.25
  6. Step 6: Final answer
    x = 66,513.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.