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Finding the Third Proportional to 8,972 and 16,008

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Solution

The third proportional to 8,972 and 16,008 is: 28,561.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972 : 16,008 = 16,008 : x
  2. Step 2: Convert to fraction form
    8,972/16,008 = 16,008/x
  3. Step 3: Cross multiply
    8,972x = 16,008 × 16,008
  4. Step 4: Simplify right side
    8,972x = 256,256,064
  5. Step 5: Solve for x
    x = 256,256,064/8,972
  6. Step 6: Final answer
    x = 28,561.75

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.