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Finding the Third Proportional to 17,102.25 and 36,141.75

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Solution

The third proportional to 17,102.25 and 36,141.75 is: 76,377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.25 : 36,141.75 = 36,141.75 : x
  2. Step 2: Convert to fraction form
    17,102.25/36,141.75 = 36,141.75/x
  3. Step 3: Cross multiply
    17,102.25x = 36,141.75 × 36,141.75
  4. Step 4: Simplify right side
    17,102.25x = 1,306,226,093.06
  5. Step 5: Solve for x
    x = 1,306,226,093.06/17,102.25
  6. Step 6: Final answer
    x = 76,377.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.