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Finding the Third Proportional to 6,972 and 11,122

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Solution

The third proportional to 6,972 and 11,122 is: 17,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972 : 11,122 = 11,122 : x
  2. Step 2: Convert to fraction form
    6,972/11,122 = 11,122/x
  3. Step 3: Cross multiply
    6,972x = 11,122 × 11,122
  4. Step 4: Simplify right side
    6,972x = 123,698,884
  5. Step 5: Solve for x
    x = 123,698,884/6,972
  6. Step 6: Final answer
    x = 17,742.24

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.