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Finding the Third Proportional to 16,728 and 38,076

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Solution

The third proportional to 16,728 and 38,076 is: 86,667.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,728 : 38,076 = 38,076 : x
  2. Step 2: Convert to fraction form
    16,728/38,076 = 38,076/x
  3. Step 3: Cross multiply
    16,728x = 38,076 × 38,076
  4. Step 4: Simplify right side
    16,728x = 1,449,781,776
  5. Step 5: Solve for x
    x = 1,449,781,776/16,728
  6. Step 6: Final answer
    x = 86,667.97

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.