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Finding the Third Proportional to 17,504.50 and 26,195.50

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Solution

The third proportional to 17,504.50 and 26,195.50 is: 39,201.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,504.50 : 26,195.50 = 26,195.50 : x
  2. Step 2: Convert to fraction form
    17,504.50/26,195.50 = 26,195.50/x
  3. Step 3: Cross multiply
    17,504.50x = 26,195.50 × 26,195.50
  4. Step 4: Simplify right side
    17,504.50x = 686,204,220.25
  5. Step 5: Solve for x
    x = 686,204,220.25/17,504.50
  6. Step 6: Final answer
    x = 39,201.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.