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Finding the Third Proportional to 36,847 and 55,453

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Solution

The third proportional to 36,847 and 55,453 is: 83,454.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,847 : 55,453 = 55,453 : x
  2. Step 2: Convert to fraction form
    36,847/55,453 = 55,453/x
  3. Step 3: Cross multiply
    36,847x = 55,453 × 55,453
  4. Step 4: Simplify right side
    36,847x = 3,075,035,209
  5. Step 5: Solve for x
    x = 3,075,035,209/36,847
  6. Step 6: Final answer
    x = 83,454.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.