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Finding the Third Proportional to 41,760 and 63,676

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Solution

The third proportional to 41,760 and 63,676 is: 97,093.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,760 : 63,676 = 63,676 : x
  2. Step 2: Convert to fraction form
    41,760/63,676 = 63,676/x
  3. Step 3: Cross multiply
    41,760x = 63,676 × 63,676
  4. Step 4: Simplify right side
    41,760x = 4,054,632,976
  5. Step 5: Solve for x
    x = 4,054,632,976/41,760
  6. Step 6: Final answer
    x = 97,093.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.