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Finding the Third Proportional to 17,193.50 and 37,626.50

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Solution

The third proportional to 17,193.50 and 37,626.50 is: 82,342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,193.50 : 37,626.50 = 37,626.50 : x
  2. Step 2: Convert to fraction form
    17,193.50/37,626.50 = 37,626.50/x
  3. Step 3: Cross multiply
    17,193.50x = 37,626.50 × 37,626.50
  4. Step 4: Simplify right side
    17,193.50x = 1,415,753,502.25
  5. Step 5: Solve for x
    x = 1,415,753,502.25/17,193.50
  6. Step 6: Final answer
    x = 82,342.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.