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Finding the Third Proportional to 31,785.54 and 49,245.47

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Solution

The third proportional to 31,785.54 and 49,245.47 is: 76,296.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,785.54 : 49,245.47 = 49,245.47 : x
  2. Step 2: Convert to fraction form
    31,785.54/49,245.47 = 49,245.47/x
  3. Step 3: Cross multiply
    31,785.54x = 49,245.47 × 49,245.47
  4. Step 4: Simplify right side
    31,785.54x = 2,425,116,192.41
  5. Step 5: Solve for x
    x = 2,425,116,192.41/31,785.54
  6. Step 6: Final answer
    x = 76,296.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.