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Finding the Third Proportional to 17,046 and 36,864

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Solution

The third proportional to 17,046 and 36,864 is: 79,722.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,046 : 36,864 = 36,864 : x
  2. Step 2: Convert to fraction form
    17,046/36,864 = 36,864/x
  3. Step 3: Cross multiply
    17,046x = 36,864 × 36,864
  4. Step 4: Simplify right side
    17,046x = 1,358,954,496
  5. Step 5: Solve for x
    x = 1,358,954,496/17,046
  6. Step 6: Final answer
    x = 79,722.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.