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Finding the Third Proportional to 19,820.86 and 41,587.92

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Solution

The third proportional to 19,820.86 and 41,587.92 is: 87,259.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,820.86 : 41,587.92 = 41,587.92 : x
  2. Step 2: Convert to fraction form
    19,820.86/41,587.92 = 41,587.92/x
  3. Step 3: Cross multiply
    19,820.86x = 41,587.92 × 41,587.92
  4. Step 4: Simplify right side
    19,820.86x = 1,729,555,245.88
  5. Step 5: Solve for x
    x = 1,729,555,245.88/19,820.86
  6. Step 6: Final answer
    x = 87,259.35

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.