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Finding the Third Proportional to 36,240 and 55,441

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Solution

The third proportional to 36,240 and 55,441 is: 84,815.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,240 : 55,441 = 55,441 : x
  2. Step 2: Convert to fraction form
    36,240/55,441 = 55,441/x
  3. Step 3: Cross multiply
    36,240x = 55,441 × 55,441
  4. Step 4: Simplify right side
    36,240x = 3,073,704,481
  5. Step 5: Solve for x
    x = 3,073,704,481/36,240
  6. Step 6: Final answer
    x = 84,815.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.