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Finding the Third Proportional to 2,061 and 2,792.25

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Solution

The third proportional to 2,061 and 2,792.25 is: 3,782.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061 : 2,792.25 = 2,792.25 : x
  2. Step 2: Convert to fraction form
    2,061/2,792.25 = 2,792.25/x
  3. Step 3: Cross multiply
    2,061x = 2,792.25 × 2,792.25
  4. Step 4: Simplify right side
    2,061x = 7,796,660.06
  5. Step 5: Solve for x
    x = 7,796,660.06/2,061
  6. Step 6: Final answer
    x = 3,782.95

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.