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Finding the Third Proportional to 45,694.13 and 68,662.69

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Solution

The third proportional to 45,694.13 and 68,662.69 is: 103,176.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,694.13 : 68,662.69 = 68,662.69 : x
  2. Step 2: Convert to fraction form
    45,694.13/68,662.69 = 68,662.69/x
  3. Step 3: Cross multiply
    45,694.13x = 68,662.69 × 68,662.69
  4. Step 4: Simplify right side
    45,694.13x = 4,714,564,654.72
  5. Step 5: Solve for x
    x = 4,714,564,654.72/45,694.13
  6. Step 6: Final answer
    x = 103,176.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.