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Finding the Third Proportional to 828.84 and 959.91

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Solution

The third proportional to 828.84 and 959.91 is: 1,111.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.84 : 959.91 = 959.91 : x
  2. Step 2: Convert to fraction form
    828.84/959.91 = 959.91/x
  3. Step 3: Cross multiply
    828.84x = 959.91 × 959.91
  4. Step 4: Simplify right side
    828.84x = 921,420.01
  5. Step 5: Solve for x
    x = 921,420.01/828.84
  6. Step 6: Final answer
    x = 1,111.69

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.