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Finding the Third Proportional to 796.13 and 976.13

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Solution

The third proportional to 796.13 and 976.13 is: 1,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.13 : 976.13 = 976.13 : x
  2. Step 2: Convert to fraction form
    796.13/976.13 = 976.13/x
  3. Step 3: Cross multiply
    796.13x = 976.13 × 976.13
  4. Step 4: Simplify right side
    796.13x = 952,820.02
  5. Step 5: Solve for x
    x = 952,820.02/796.13
  6. Step 6: Final answer
    x = 1,196.82

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.