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Finding the Third Proportional to 45,224 and 66,481.25

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Solution

The third proportional to 45,224 and 66,481.25 is: 97,730.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,224 : 66,481.25 = 66,481.25 : x
  2. Step 2: Convert to fraction form
    45,224/66,481.25 = 66,481.25/x
  3. Step 3: Cross multiply
    45,224x = 66,481.25 × 66,481.25
  4. Step 4: Simplify right side
    45,224x = 4,419,756,601.56
  5. Step 5: Solve for x
    x = 4,419,756,601.56/45,224
  6. Step 6: Final answer
    x = 97,730.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.