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Finding the Third Proportional to 27,474.50 and 58,836.50

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Solution

The third proportional to 27,474.50 and 58,836.50 is: 125,998.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,474.50 : 58,836.50 = 58,836.50 : x
  2. Step 2: Convert to fraction form
    27,474.50/58,836.50 = 58,836.50/x
  3. Step 3: Cross multiply
    27,474.50x = 58,836.50 × 58,836.50
  4. Step 4: Simplify right side
    27,474.50x = 3,461,733,732.25
  5. Step 5: Solve for x
    x = 3,461,733,732.25/27,474.50
  6. Step 6: Final answer
    x = 125,998.06

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.