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Finding the Third Proportional to 33,442.88 and 44,582.91

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Solution

The third proportional to 33,442.88 and 44,582.91 is: 59,433.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,442.88 : 44,582.91 = 44,582.91 : x
  2. Step 2: Convert to fraction form
    33,442.88/44,582.91 = 44,582.91/x
  3. Step 3: Cross multiply
    33,442.88x = 44,582.91 × 44,582.91
  4. Step 4: Simplify right side
    33,442.88x = 1,987,635,529.70
  5. Step 5: Solve for x
    x = 1,987,635,529.70/33,442.88
  6. Step 6: Final answer
    x = 59,433.75

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.