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Finding the Third Proportional to 6,972 and 12,216

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Solution

The third proportional to 6,972 and 12,216 is: 21,404.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972 : 12,216 = 12,216 : x
  2. Step 2: Convert to fraction form
    6,972/12,216 = 12,216/x
  3. Step 3: Cross multiply
    6,972x = 12,216 × 12,216
  4. Step 4: Simplify right side
    6,972x = 149,230,656
  5. Step 5: Solve for x
    x = 149,230,656/6,972
  6. Step 6: Final answer
    x = 21,404.28

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.