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Finding the Third Proportional to 19,778.25 and 40,290.88

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Solution

The third proportional to 19,778.25 and 40,290.88 is: 82,077.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,778.25 : 40,290.88 = 40,290.88 : x
  2. Step 2: Convert to fraction form
    19,778.25/40,290.88 = 40,290.88/x
  3. Step 3: Cross multiply
    19,778.25x = 40,290.88 × 40,290.88
  4. Step 4: Simplify right side
    19,778.25x = 1,623,354,608.27
  5. Step 5: Solve for x
    x = 1,623,354,608.27/19,778.25
  6. Step 6: Final answer
    x = 82,077.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.