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Finding the Third Proportional to 17,544 and 33,471.50

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Solution

The third proportional to 17,544 and 33,471.50 is: 63,858.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,544 : 33,471.50 = 33,471.50 : x
  2. Step 2: Convert to fraction form
    17,544/33,471.50 = 33,471.50/x
  3. Step 3: Cross multiply
    17,544x = 33,471.50 × 33,471.50
  4. Step 4: Simplify right side
    17,544x = 1,120,341,312.25
  5. Step 5: Solve for x
    x = 1,120,341,312.25/17,544
  6. Step 6: Final answer
    x = 63,858.94

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.