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Finding the Third Proportional to 50,893.31 and 66,924.56

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Solution

The third proportional to 50,893.31 and 66,924.56 is: 88,005.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,893.31 : 66,924.56 = 66,924.56 : x
  2. Step 2: Convert to fraction form
    50,893.31/66,924.56 = 66,924.56/x
  3. Step 3: Cross multiply
    50,893.31x = 66,924.56 × 66,924.56
  4. Step 4: Simplify right side
    50,893.31x = 4,478,897,065.82
  5. Step 5: Solve for x
    x = 4,478,897,065.82/50,893.31
  6. Step 6: Final answer
    x = 88,005.61

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.