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Finding the Third Proportional to 36,562 and 55,244

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Solution

The third proportional to 36,562 and 55,244 is: 83,471.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,562 : 55,244 = 55,244 : x
  2. Step 2: Convert to fraction form
    36,562/55,244 = 55,244/x
  3. Step 3: Cross multiply
    36,562x = 55,244 × 55,244
  4. Step 4: Simplify right side
    36,562x = 3,051,899,536
  5. Step 5: Solve for x
    x = 3,051,899,536/36,562
  6. Step 6: Final answer
    x = 83,471.90

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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.