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Finding the Third Proportional to 27,771 and 43,013.25

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Solution

The third proportional to 27,771 and 43,013.25 is: 66,621.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,771 : 43,013.25 = 43,013.25 : x
  2. Step 2: Convert to fraction form
    27,771/43,013.25 = 43,013.25/x
  3. Step 3: Cross multiply
    27,771x = 43,013.25 × 43,013.25
  4. Step 4: Simplify right side
    27,771x = 1,850,139,675.56
  5. Step 5: Solve for x
    x = 1,850,139,675.56/27,771
  6. Step 6: Final answer
    x = 66,621.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.