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Finding the Third Proportional to 23,226.75 and 49,732.88

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Solution

The third proportional to 23,226.75 and 49,732.88 is: 106,487.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,226.75 : 49,732.88 = 49,732.88 : x
  2. Step 2: Convert to fraction form
    23,226.75/49,732.88 = 49,732.88/x
  3. Step 3: Cross multiply
    23,226.75x = 49,732.88 × 49,732.88
  4. Step 4: Simplify right side
    23,226.75x = 2,473,358,855.77
  5. Step 5: Solve for x
    x = 2,473,358,855.77/23,226.75
  6. Step 6: Final answer
    x = 106,487.51

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Why These Related Problems?

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