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Finding the Third Proportional to 41,464.50 and 62,496

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Solution

The third proportional to 41,464.50 and 62,496 is: 94,195.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,464.50 : 62,496 = 62,496 : x
  2. Step 2: Convert to fraction form
    41,464.50/62,496 = 62,496/x
  3. Step 3: Cross multiply
    41,464.50x = 62,496 × 62,496
  4. Step 4: Simplify right side
    41,464.50x = 3,905,750,016
  5. Step 5: Solve for x
    x = 3,905,750,016/41,464.50
  6. Step 6: Final answer
    x = 94,195.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.