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Finding the Third Proportional to 33,928.40 and 44,615.65

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Solution

The third proportional to 33,928.40 and 44,615.65 is: 58,669.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,928.40 : 44,615.65 = 44,615.65 : x
  2. Step 2: Convert to fraction form
    33,928.40/44,615.65 = 44,615.65/x
  3. Step 3: Cross multiply
    33,928.40x = 44,615.65 × 44,615.65
  4. Step 4: Simplify right side
    33,928.40x = 1,990,556,608.34
  5. Step 5: Solve for x
    x = 1,990,556,608.34/33,928.40
  6. Step 6: Final answer
    x = 58,669.33

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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.