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Finding the Third Proportional to 27,822.50 and 58,956

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Solution

The third proportional to 27,822.50 and 58,956 is: 124,928.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,822.50 : 58,956 = 58,956 : x
  2. Step 2: Convert to fraction form
    27,822.50/58,956 = 58,956/x
  3. Step 3: Cross multiply
    27,822.50x = 58,956 × 58,956
  4. Step 4: Simplify right side
    27,822.50x = 3,475,809,936
  5. Step 5: Solve for x
    x = 3,475,809,936/27,822.50
  6. Step 6: Final answer
    x = 124,928.02

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.