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Finding the Third Proportional to 36,552 and 55,806

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Solution

The third proportional to 36,552 and 55,806 is: 85,202.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,552 : 55,806 = 55,806 : x
  2. Step 2: Convert to fraction form
    36,552/55,806 = 55,806/x
  3. Step 3: Cross multiply
    36,552x = 55,806 × 55,806
  4. Step 4: Simplify right side
    36,552x = 3,114,309,636
  5. Step 5: Solve for x
    x = 3,114,309,636/36,552
  6. Step 6: Final answer
    x = 85,202.17

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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.