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Finding the Third Proportional to 41,672.81 and 64,544.34

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Solution

The third proportional to 41,672.81 and 64,544.34 is: 99,968.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,672.81 : 64,544.34 = 64,544.34 : x
  2. Step 2: Convert to fraction form
    41,672.81/64,544.34 = 64,544.34/x
  3. Step 3: Cross multiply
    41,672.81x = 64,544.34 × 64,544.34
  4. Step 4: Simplify right side
    41,672.81x = 4,165,972,310.12
  5. Step 5: Solve for x
    x = 4,165,972,310.12/41,672.81
  6. Step 6: Final answer
    x = 99,968.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.