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Finding the Third Proportional to 27,583.88 and 38,844.56

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Solution

The third proportional to 27,583.88 and 38,844.56 is: 54,702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,583.88 : 38,844.56 = 38,844.56 : x
  2. Step 2: Convert to fraction form
    27,583.88/38,844.56 = 38,844.56/x
  3. Step 3: Cross multiply
    27,583.88x = 38,844.56 × 38,844.56
  4. Step 4: Simplify right side
    27,583.88x = 1,508,900,035.82
  5. Step 5: Solve for x
    x = 1,508,900,035.82/27,583.88
  6. Step 6: Final answer
    x = 54,702.25

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.