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Finding the Third Proportional to 32,792 and 49,790

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Solution

The third proportional to 32,792 and 49,790 is: 75,599.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,792 : 49,790 = 49,790 : x
  2. Step 2: Convert to fraction form
    32,792/49,790 = 49,790/x
  3. Step 3: Cross multiply
    32,792x = 49,790 × 49,790
  4. Step 4: Simplify right side
    32,792x = 2,479,044,100
  5. Step 5: Solve for x
    x = 2,479,044,100/32,792
  6. Step 6: Final answer
    x = 75,599.05

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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.