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Finding the Third Proportional to 828.56 and 1,792.13

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Solution

The third proportional to 828.56 and 1,792.13 is: 3,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.56 : 1,792.13 = 1,792.13 : x
  2. Step 2: Convert to fraction form
    828.56/1,792.13 = 1,792.13/x
  3. Step 3: Cross multiply
    828.56x = 1,792.13 × 1,792.13
  4. Step 4: Simplify right side
    828.56x = 3,211,712.02
  5. Step 5: Solve for x
    x = 3,211,712.02/828.56
  6. Step 6: Final answer
    x = 3,876.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.