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Finding the Third Proportional to 23,103.84 and 49,658.06

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Solution

The third proportional to 23,103.84 and 49,658.06 is: 106,732.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,103.84 : 49,658.06 = 49,658.06 : x
  2. Step 2: Convert to fraction form
    23,103.84/49,658.06 = 49,658.06/x
  3. Step 3: Cross multiply
    23,103.84x = 49,658.06 × 49,658.06
  4. Step 4: Simplify right side
    23,103.84x = 2,465,923,171.25
  5. Step 5: Solve for x
    x = 2,465,923,171.25/23,103.84
  6. Step 6: Final answer
    x = 106,732.16

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.