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Finding the Third Proportional to 40,581 and 55,859.63

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Solution

The third proportional to 40,581 and 55,859.63 is: 76,890.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,581 : 55,859.63 = 55,859.63 : x
  2. Step 2: Convert to fraction form
    40,581/55,859.63 = 55,859.63/x
  3. Step 3: Cross multiply
    40,581x = 55,859.63 × 55,859.63
  4. Step 4: Simplify right side
    40,581x = 3,120,297,705.14
  5. Step 5: Solve for x
    x = 3,120,297,705.14/40,581
  6. Step 6: Final answer
    x = 76,890.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.