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Finding the Third Proportional to 23,272.59 and 49,825.69

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Solution

The third proportional to 23,272.59 and 49,825.69 is: 106,674.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,272.59 : 49,825.69 = 49,825.69 : x
  2. Step 2: Convert to fraction form
    23,272.59/49,825.69 = 49,825.69/x
  3. Step 3: Cross multiply
    23,272.59x = 49,825.69 × 49,825.69
  4. Step 4: Simplify right side
    23,272.59x = 2,482,599,134.85
  5. Step 5: Solve for x
    x = 2,482,599,134.85/23,272.59
  6. Step 6: Final answer
    x = 106,674.79

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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.