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Finding the Third Proportional to 17,921.50 and 35,401.50

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Solution

The third proportional to 17,921.50 and 35,401.50 is: 69,930.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,921.50 : 35,401.50 = 35,401.50 : x
  2. Step 2: Convert to fraction form
    17,921.50/35,401.50 = 35,401.50/x
  3. Step 3: Cross multiply
    17,921.50x = 35,401.50 × 35,401.50
  4. Step 4: Simplify right side
    17,921.50x = 1,253,266,202.25
  5. Step 5: Solve for x
    x = 1,253,266,202.25/17,921.50
  6. Step 6: Final answer
    x = 69,930.88

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.