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Finding the Third Proportional to 23,843.74 and 51,378.05

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Solution

The third proportional to 23,843.74 and 51,378.05 is: 110,708.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,843.74 : 51,378.05 = 51,378.05 : x
  2. Step 2: Convert to fraction form
    23,843.74/51,378.05 = 51,378.05/x
  3. Step 3: Cross multiply
    23,843.74x = 51,378.05 × 51,378.05
  4. Step 4: Simplify right side
    23,843.74x = 2,639,703,700.69
  5. Step 5: Solve for x
    x = 2,639,703,700.69/23,843.74
  6. Step 6: Final answer
    x = 110,708.45

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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.