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Finding the Third Proportional to 17,505.25 and 26,270.75

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Solution

The third proportional to 17,505.25 and 26,270.75 is: 39,425.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,505.25 : 26,270.75 = 26,270.75 : x
  2. Step 2: Convert to fraction form
    17,505.25/26,270.75 = 26,270.75/x
  3. Step 3: Cross multiply
    17,505.25x = 26,270.75 × 26,270.75
  4. Step 4: Simplify right side
    17,505.25x = 690,152,305.56
  5. Step 5: Solve for x
    x = 690,152,305.56/17,505.25
  6. Step 6: Final answer
    x = 39,425.45

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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.