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Finding the Third Proportional to 29,316.38 and 57,174.47

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Solution

The third proportional to 29,316.38 and 57,174.47 is: 111,504.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,316.38 : 57,174.47 = 57,174.47 : x
  2. Step 2: Convert to fraction form
    29,316.38/57,174.47 = 57,174.47/x
  3. Step 3: Cross multiply
    29,316.38x = 57,174.47 × 57,174.47
  4. Step 4: Simplify right side
    29,316.38x = 3,268,919,876.84
  5. Step 5: Solve for x
    x = 3,268,919,876.84/29,316.38
  6. Step 6: Final answer
    x = 111,504.91

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.