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Finding the Third Proportional to 27,474 and 58,835

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Solution

The third proportional to 27,474 and 58,835 is: 125,993.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,474 : 58,835 = 58,835 : x
  2. Step 2: Convert to fraction form
    27,474/58,835 = 58,835/x
  3. Step 3: Cross multiply
    27,474x = 58,835 × 58,835
  4. Step 4: Simplify right side
    27,474x = 3,461,557,225
  5. Step 5: Solve for x
    x = 3,461,557,225/27,474
  6. Step 6: Final answer
    x = 125,993.93

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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.