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Finding the Third Proportional to 36,102 and 53,441

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Solution

The third proportional to 36,102 and 53,441 is: 79,107.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,102 : 53,441 = 53,441 : x
  2. Step 2: Convert to fraction form
    36,102/53,441 = 53,441/x
  3. Step 3: Cross multiply
    36,102x = 53,441 × 53,441
  4. Step 4: Simplify right side
    36,102x = 2,855,940,481
  5. Step 5: Solve for x
    x = 2,855,940,481/36,102
  6. Step 6: Final answer
    x = 79,107.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.