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Finding the Third Proportional to 48,673.83 and 71,096.91

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Solution

The third proportional to 48,673.83 and 71,096.91 is: 103,849.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,673.83 : 71,096.91 = 71,096.91 : x
  2. Step 2: Convert to fraction form
    48,673.83/71,096.91 = 71,096.91/x
  3. Step 3: Cross multiply
    48,673.83x = 71,096.91 × 71,096.91
  4. Step 4: Simplify right side
    48,673.83x = 5,054,770,078.32
  5. Step 5: Solve for x
    x = 5,054,770,078.32/48,673.83
  6. Step 6: Final answer
    x = 103,849.86

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.