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Finding the Third Proportional to 41,895 and 63,821.25

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Solution

The third proportional to 41,895 and 63,821.25 is: 97,222.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,895 : 63,821.25 = 63,821.25 : x
  2. Step 2: Convert to fraction form
    41,895/63,821.25 = 63,821.25/x
  3. Step 3: Cross multiply
    41,895x = 63,821.25 × 63,821.25
  4. Step 4: Simplify right side
    41,895x = 4,073,151,951.56
  5. Step 5: Solve for x
    x = 4,073,151,951.56/41,895
  6. Step 6: Final answer
    x = 97,222.87

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.