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Finding the Third Proportional to 41,704.50 and 64,672.50

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Solution

The third proportional to 41,704.50 and 64,672.50 is: 100,289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,704.50 : 64,672.50 = 64,672.50 : x
  2. Step 2: Convert to fraction form
    41,704.50/64,672.50 = 64,672.50/x
  3. Step 3: Cross multiply
    41,704.50x = 64,672.50 × 64,672.50
  4. Step 4: Simplify right side
    41,704.50x = 4,182,532,256.25
  5. Step 5: Solve for x
    x = 4,182,532,256.25/41,704.50
  6. Step 6: Final answer
    x = 100,289.71

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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.