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Finding the Third Proportional to 29,972 and 63,589

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Solution

The third proportional to 29,972 and 63,589 is: 134,911.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,972 : 63,589 = 63,589 : x
  2. Step 2: Convert to fraction form
    29,972/63,589 = 63,589/x
  3. Step 3: Cross multiply
    29,972x = 63,589 × 63,589
  4. Step 4: Simplify right side
    29,972x = 4,043,560,921
  5. Step 5: Solve for x
    x = 4,043,560,921/29,972
  6. Step 6: Final answer
    x = 134,911.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.