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Finding the Third Proportional to 47,975 and 76,643

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Solution

The third proportional to 47,975 and 76,643 is: 122,441.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,975 : 76,643 = 76,643 : x
  2. Step 2: Convert to fraction form
    47,975/76,643 = 76,643/x
  3. Step 3: Cross multiply
    47,975x = 76,643 × 76,643
  4. Step 4: Simplify right side
    47,975x = 5,874,149,449
  5. Step 5: Solve for x
    x = 5,874,149,449/47,975
  6. Step 6: Final answer
    x = 122,441.89

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.