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Finding the Third Proportional to 33,343.31 and 59,285.46

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Solution

The third proportional to 33,343.31 and 59,285.46 is: 105,411.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,343.31 : 59,285.46 = 59,285.46 : x
  2. Step 2: Convert to fraction form
    33,343.31/59,285.46 = 59,285.46/x
  3. Step 3: Cross multiply
    33,343.31x = 59,285.46 × 59,285.46
  4. Step 4: Simplify right side
    33,343.31x = 3,514,765,878.57
  5. Step 5: Solve for x
    x = 3,514,765,878.57/33,343.31
  6. Step 6: Final answer
    x = 105,411.42

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.