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Finding the Third Proportional to 36,295 and 55,523

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Solution

The third proportional to 36,295 and 55,523 is: 84,937.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,295 : 55,523 = 55,523 : x
  2. Step 2: Convert to fraction form
    36,295/55,523 = 55,523/x
  3. Step 3: Cross multiply
    36,295x = 55,523 × 55,523
  4. Step 4: Simplify right side
    36,295x = 3,082,803,529
  5. Step 5: Solve for x
    x = 3,082,803,529/36,295
  6. Step 6: Final answer
    x = 84,937.42

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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.