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Finding the Third Proportional to 41,931 and 61,168.50

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Solution

The third proportional to 41,931 and 61,168.50 is: 89,231.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,931 : 61,168.50 = 61,168.50 : x
  2. Step 2: Convert to fraction form
    41,931/61,168.50 = 61,168.50/x
  3. Step 3: Cross multiply
    41,931x = 61,168.50 × 61,168.50
  4. Step 4: Simplify right side
    41,931x = 3,741,585,392.25
  5. Step 5: Solve for x
    x = 3,741,585,392.25/41,931
  6. Step 6: Final answer
    x = 89,231.96

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.