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Finding the Third Proportional to 36,677 and 53,285

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Solution

The third proportional to 36,677 and 53,285 is: 77,413.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,677 : 53,285 = 53,285 : x
  2. Step 2: Convert to fraction form
    36,677/53,285 = 53,285/x
  3. Step 3: Cross multiply
    36,677x = 53,285 × 53,285
  4. Step 4: Simplify right side
    36,677x = 2,839,291,225
  5. Step 5: Solve for x
    x = 2,839,291,225/36,677
  6. Step 6: Final answer
    x = 77,413.40

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.