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Finding the Third Proportional to 10,206 and 18,972

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Solution

The third proportional to 10,206 and 18,972 is: 35,267.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206 : 18,972 = 18,972 : x
  2. Step 2: Convert to fraction form
    10,206/18,972 = 18,972/x
  3. Step 3: Cross multiply
    10,206x = 18,972 × 18,972
  4. Step 4: Simplify right side
    10,206x = 359,936,784
  5. Step 5: Solve for x
    x = 359,936,784/10,206
  6. Step 6: Final answer
    x = 35,267.17

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.