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Finding the Third Proportional to 27,928.13 and 58,728.38

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Solution

The third proportional to 27,928.13 and 58,728.38 is: 123,496.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,928.13 : 58,728.38 = 58,728.38 : x
  2. Step 2: Convert to fraction form
    27,928.13/58,728.38 = 58,728.38/x
  3. Step 3: Cross multiply
    27,928.13x = 58,728.38 × 58,728.38
  4. Step 4: Simplify right side
    27,928.13x = 3,449,022,030.14
  5. Step 5: Solve for x
    x = 3,449,022,030.14/27,928.13
  6. Step 6: Final answer
    x = 123,496.37

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.