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Finding the Third Proportional to 33,343.21 and 59,285.36

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Solution

The third proportional to 33,343.21 and 59,285.36 is: 105,411.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,343.21 : 59,285.36 = 59,285.36 : x
  2. Step 2: Convert to fraction form
    33,343.21/59,285.36 = 59,285.36/x
  3. Step 3: Cross multiply
    33,343.21x = 59,285.36 × 59,285.36
  4. Step 4: Simplify right side
    33,343.21x = 3,514,753,373.06
  5. Step 5: Solve for x
    x = 3,514,753,373.06/33,343.21
  6. Step 6: Final answer
    x = 105,411.38

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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.