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Finding the Third Proportional to 36,452 and 53,503

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Solution

The third proportional to 36,452 and 53,503 is: 78,529.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,452 : 53,503 = 53,503 : x
  2. Step 2: Convert to fraction form
    36,452/53,503 = 53,503/x
  3. Step 3: Cross multiply
    36,452x = 53,503 × 53,503
  4. Step 4: Simplify right side
    36,452x = 2,862,571,009
  5. Step 5: Solve for x
    x = 2,862,571,009/36,452
  6. Step 6: Final answer
    x = 78,529.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.