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Finding the Third Proportional to 6,972 and 11,706

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Solution

The third proportional to 6,972 and 11,706 is: 19,654.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972 : 11,706 = 11,706 : x
  2. Step 2: Convert to fraction form
    6,972/11,706 = 11,706/x
  3. Step 3: Cross multiply
    6,972x = 11,706 × 11,706
  4. Step 4: Simplify right side
    6,972x = 137,030,436
  5. Step 5: Solve for x
    x = 137,030,436/6,972
  6. Step 6: Final answer
    x = 19,654.39

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.