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Finding the Third Proportional to 2,796.75 and 6,931.13

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Solution

The third proportional to 2,796.75 and 6,931.13 is: 17,177.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.75 : 6,931.13 = 6,931.13 : x
  2. Step 2: Convert to fraction form
    2,796.75/6,931.13 = 6,931.13/x
  3. Step 3: Cross multiply
    2,796.75x = 6,931.13 × 6,931.13
  4. Step 4: Simplify right side
    2,796.75x = 48,040,493.77
  5. Step 5: Solve for x
    x = 48,040,493.77/2,796.75
  6. Step 6: Final answer
    x = 17,177.26

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.