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Finding the Third Proportional to 36,538 and 56,351

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Solution

The third proportional to 36,538 and 56,351 is: 86,907.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,538 : 56,351 = 56,351 : x
  2. Step 2: Convert to fraction form
    36,538/56,351 = 56,351/x
  3. Step 3: Cross multiply
    36,538x = 56,351 × 56,351
  4. Step 4: Simplify right side
    36,538x = 3,175,435,201
  5. Step 5: Solve for x
    x = 3,175,435,201/36,538
  6. Step 6: Final answer
    x = 86,907.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.