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Finding the Third Proportional to 33,922.13 and 46,509.19

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Solution

The third proportional to 33,922.13 and 46,509.19 is: 63,766.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,922.13 : 46,509.19 = 46,509.19 : x
  2. Step 2: Convert to fraction form
    33,922.13/46,509.19 = 46,509.19/x
  3. Step 3: Cross multiply
    33,922.13x = 46,509.19 × 46,509.19
  4. Step 4: Simplify right side
    33,922.13x = 2,163,104,521.91
  5. Step 5: Solve for x
    x = 2,163,104,521.91/33,922.13
  6. Step 6: Final answer
    x = 63,766.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.