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Finding the Third Proportional to 41,563.83 and 64,489.92

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Solution

The third proportional to 41,563.83 and 64,489.92 is: 100,061.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,563.83 : 64,489.92 = 64,489.92 : x
  2. Step 2: Convert to fraction form
    41,563.83/64,489.92 = 64,489.92/x
  3. Step 3: Cross multiply
    41,563.83x = 64,489.92 × 64,489.92
  4. Step 4: Simplify right side
    41,563.83x = 4,158,950,023.44
  5. Step 5: Solve for x
    x = 4,158,950,023.44/41,563.83
  6. Step 6: Final answer
    x = 100,061.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.