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Finding the Third Proportional to 17,534.25 and 37,530.56

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Solution

The third proportional to 17,534.25 and 37,530.56 is: 80,330.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534.25 : 37,530.56 = 37,530.56 : x
  2. Step 2: Convert to fraction form
    17,534.25/37,530.56 = 37,530.56/x
  3. Step 3: Cross multiply
    17,534.25x = 37,530.56 × 37,530.56
  4. Step 4: Simplify right side
    17,534.25x = 1,408,543,121.57
  5. Step 5: Solve for x
    x = 1,408,543,121.57/17,534.25
  6. Step 6: Final answer
    x = 80,330.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.