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Finding the Third Proportional to 6,976 and 11,072

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Solution

The third proportional to 6,976 and 11,072 is: 17,572.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976 : 11,072 = 11,072 : x
  2. Step 2: Convert to fraction form
    6,976/11,072 = 11,072/x
  3. Step 3: Cross multiply
    6,976x = 11,072 × 11,072
  4. Step 4: Simplify right side
    6,976x = 122,589,184
  5. Step 5: Solve for x
    x = 122,589,184/6,976
  6. Step 6: Final answer
    x = 17,572.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.