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Finding the Third Proportional to 8,972 and 16,144

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Solution

The third proportional to 8,972 and 16,144 is: 29,049.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972 : 16,144 = 16,144 : x
  2. Step 2: Convert to fraction form
    8,972/16,144 = 16,144/x
  3. Step 3: Cross multiply
    8,972x = 16,144 × 16,144
  4. Step 4: Simplify right side
    8,972x = 260,628,736
  5. Step 5: Solve for x
    x = 260,628,736/8,972
  6. Step 6: Final answer
    x = 29,049.12

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.