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Finding the Third Proportional to 41,722.25 and 64,644.88

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Solution

The third proportional to 41,722.25 and 64,644.88 is: 100,161.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,722.25 : 64,644.88 = 64,644.88 : x
  2. Step 2: Convert to fraction form
    41,722.25/64,644.88 = 64,644.88/x
  3. Step 3: Cross multiply
    41,722.25x = 64,644.88 × 64,644.88
  4. Step 4: Simplify right side
    41,722.25x = 4,178,959,863.77
  5. Step 5: Solve for x
    x = 4,178,959,863.77/41,722.25
  6. Step 6: Final answer
    x = 100,161.42

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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.