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Finding the Third Proportional to 45,456.75 and 69,481.13

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Solution

The third proportional to 45,456.75 and 69,481.13 is: 106,202.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,456.75 : 69,481.13 = 69,481.13 : x
  2. Step 2: Convert to fraction form
    45,456.75/69,481.13 = 69,481.13/x
  3. Step 3: Cross multiply
    45,456.75x = 69,481.13 × 69,481.13
  4. Step 4: Simplify right side
    45,456.75x = 4,827,626,731.27
  5. Step 5: Solve for x
    x = 4,827,626,731.27/45,456.75
  6. Step 6: Final answer
    x = 106,202.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.