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Finding the Third Proportional to 17,146.69 and 26,722.41

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Solution

The third proportional to 17,146.69 and 26,722.41 is: 41,645.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,146.69 : 26,722.41 = 26,722.41 : x
  2. Step 2: Convert to fraction form
    17,146.69/26,722.41 = 26,722.41/x
  3. Step 3: Cross multiply
    17,146.69x = 26,722.41 × 26,722.41
  4. Step 4: Simplify right side
    17,146.69x = 714,086,995.79
  5. Step 5: Solve for x
    x = 714,086,995.79/17,146.69
  6. Step 6: Final answer
    x = 41,645.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.