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Finding the Third Proportional to 17,144 and 36,470

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Solution

The third proportional to 17,144 and 36,470 is: 77,581.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,144 : 36,470 = 36,470 : x
  2. Step 2: Convert to fraction form
    17,144/36,470 = 36,470/x
  3. Step 3: Cross multiply
    17,144x = 36,470 × 36,470
  4. Step 4: Simplify right side
    17,144x = 1,330,060,900
  5. Step 5: Solve for x
    x = 1,330,060,900/17,144
  6. Step 6: Final answer
    x = 77,581.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.