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Finding the Third Proportional to 29,439.07 and 64,379.81

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Solution

The third proportional to 29,439.07 and 64,379.81 is: 140,791.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,439.07 : 64,379.81 = 64,379.81 : x
  2. Step 2: Convert to fraction form
    29,439.07/64,379.81 = 64,379.81/x
  3. Step 3: Cross multiply
    29,439.07x = 64,379.81 × 64,379.81
  4. Step 4: Simplify right side
    29,439.07x = 4,144,760,257.54
  5. Step 5: Solve for x
    x = 4,144,760,257.54/29,439.07
  6. Step 6: Final answer
    x = 140,791.14

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.