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Finding the Third Proportional to 38,218.50 and 77,467.50

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Solution

The third proportional to 38,218.50 and 77,467.50 is: 157,023.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,218.50 : 77,467.50 = 77,467.50 : x
  2. Step 2: Convert to fraction form
    38,218.50/77,467.50 = 77,467.50/x
  3. Step 3: Cross multiply
    38,218.50x = 77,467.50 × 77,467.50
  4. Step 4: Simplify right side
    38,218.50x = 6,001,213,556.25
  5. Step 5: Solve for x
    x = 6,001,213,556.25/38,218.50
  6. Step 6: Final answer
    x = 157,023.79

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.