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Finding the Third Proportional to 36,859 and 55,474.50

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Solution

The third proportional to 36,859 and 55,474.50 is: 83,491.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,859 : 55,474.50 = 55,474.50 : x
  2. Step 2: Convert to fraction form
    36,859/55,474.50 = 55,474.50/x
  3. Step 3: Cross multiply
    36,859x = 55,474.50 × 55,474.50
  4. Step 4: Simplify right side
    36,859x = 3,077,420,150.25
  5. Step 5: Solve for x
    x = 3,077,420,150.25/36,859
  6. Step 6: Final answer
    x = 83,491.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.