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Finding the Third Proportional to 38,883.75 and 83,634.38

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Solution

The third proportional to 38,883.75 and 83,634.38 is: 179,887.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,883.75 : 83,634.38 = 83,634.38 : x
  2. Step 2: Convert to fraction form
    38,883.75/83,634.38 = 83,634.38/x
  3. Step 3: Cross multiply
    38,883.75x = 83,634.38 × 83,634.38
  4. Step 4: Simplify right side
    38,883.75x = 6,994,708,681.64
  5. Step 5: Solve for x
    x = 6,994,708,681.64/38,883.75
  6. Step 6: Final answer
    x = 179,887.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.