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Finding the Third Proportional to 36,420.75 and 77,906.25

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Solution

The third proportional to 36,420.75 and 77,906.25 is: 166,646.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,420.75 : 77,906.25 = 77,906.25 : x
  2. Step 2: Convert to fraction form
    36,420.75/77,906.25 = 77,906.25/x
  3. Step 3: Cross multiply
    36,420.75x = 77,906.25 × 77,906.25
  4. Step 4: Simplify right side
    36,420.75x = 6,069,383,789.06
  5. Step 5: Solve for x
    x = 6,069,383,789.06/36,420.75
  6. Step 6: Final answer
    x = 166,646.32

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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.