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Finding the Third Proportional to 36,338 and 55,562

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Solution

The third proportional to 36,338 and 55,562 is: 84,956.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,338 : 55,562 = 55,562 : x
  2. Step 2: Convert to fraction form
    36,338/55,562 = 55,562/x
  3. Step 3: Cross multiply
    36,338x = 55,562 × 55,562
  4. Step 4: Simplify right side
    36,338x = 3,087,135,844
  5. Step 5: Solve for x
    x = 3,087,135,844/36,338
  6. Step 6: Final answer
    x = 84,956.13

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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.