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Finding the Third Proportional to 23,177.39 and 49,635.28

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Solution

The third proportional to 23,177.39 and 49,635.28 is: 106,295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,177.39 : 49,635.28 = 49,635.28 : x
  2. Step 2: Convert to fraction form
    23,177.39/49,635.28 = 49,635.28/x
  3. Step 3: Cross multiply
    23,177.39x = 49,635.28 × 49,635.28
  4. Step 4: Simplify right side
    23,177.39x = 2,463,661,144.77
  5. Step 5: Solve for x
    x = 2,463,661,144.77/23,177.39
  6. Step 6: Final answer
    x = 106,295.88

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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.