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Finding the Third Proportional to 17,202.69 and 36,472.78

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Solution

The third proportional to 17,202.69 and 36,472.78 is: 77,328.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,202.69 : 36,472.78 = 36,472.78 : x
  2. Step 2: Convert to fraction form
    17,202.69/36,472.78 = 36,472.78/x
  3. Step 3: Cross multiply
    17,202.69x = 36,472.78 × 36,472.78
  4. Step 4: Simplify right side
    17,202.69x = 1,330,263,772.11
  5. Step 5: Solve for x
    x = 1,330,263,772.11/17,202.69
  6. Step 6: Final answer
    x = 77,328.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.