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Finding the Third Proportional to 41,768 and 63,975

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Solution

The third proportional to 41,768 and 63,975 is: 97,988.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,768 : 63,975 = 63,975 : x
  2. Step 2: Convert to fraction form
    41,768/63,975 = 63,975/x
  3. Step 3: Cross multiply
    41,768x = 63,975 × 63,975
  4. Step 4: Simplify right side
    41,768x = 4,092,800,625
  5. Step 5: Solve for x
    x = 4,092,800,625/41,768
  6. Step 6: Final answer
    x = 97,988.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.