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Finding the Third Proportional to 32,918 and 49,662

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Solution

The third proportional to 32,918 and 49,662 is: 74,922.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,918 : 49,662 = 49,662 : x
  2. Step 2: Convert to fraction form
    32,918/49,662 = 49,662/x
  3. Step 3: Cross multiply
    32,918x = 49,662 × 49,662
  4. Step 4: Simplify right side
    32,918x = 2,466,314,244
  5. Step 5: Solve for x
    x = 2,466,314,244/32,918
  6. Step 6: Final answer
    x = 74,922.97

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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.