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Finding the Third Proportional to 64,174.78 and 68,662.69

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Solution

The third proportional to 64,174.78 and 68,662.69 is: 73,464.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,174.78 : 68,662.69 = 68,662.69 : x
  2. Step 2: Convert to fraction form
    64,174.78/68,662.69 = 68,662.69/x
  3. Step 3: Cross multiply
    64,174.78x = 68,662.69 × 68,662.69
  4. Step 4: Simplify right side
    64,174.78x = 4,714,564,654.72
  5. Step 5: Solve for x
    x = 4,714,564,654.72/64,174.78
  6. Step 6: Final answer
    x = 73,464.44

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These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.