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Finding the Third Proportional to 32,916 and 49,398

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Solution

The third proportional to 32,916 and 49,398 is: 74,133.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,916 : 49,398 = 49,398 : x
  2. Step 2: Convert to fraction form
    32,916/49,398 = 49,398/x
  3. Step 3: Cross multiply
    32,916x = 49,398 × 49,398
  4. Step 4: Simplify right side
    32,916x = 2,440,162,404
  5. Step 5: Solve for x
    x = 2,440,162,404/32,916
  6. Step 6: Final answer
    x = 74,133.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.