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Finding the Third Proportional to 19,508.91 and 41,976.84

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Solution

The third proportional to 19,508.91 and 41,976.84 is: 90,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,508.91 : 41,976.84 = 41,976.84 : x
  2. Step 2: Convert to fraction form
    19,508.91/41,976.84 = 41,976.84/x
  3. Step 3: Cross multiply
    19,508.91x = 41,976.84 × 41,976.84
  4. Step 4: Simplify right side
    19,508.91x = 1,762,055,411.21
  5. Step 5: Solve for x
    x = 1,762,055,411.21/19,508.91
  6. Step 6: Final answer
    x = 90,320.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.