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Finding the Third Proportional to 41,660 and 64,951

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Solution

The third proportional to 41,660 and 64,951 is: 101,263.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,660 : 64,951 = 64,951 : x
  2. Step 2: Convert to fraction form
    41,660/64,951 = 64,951/x
  3. Step 3: Cross multiply
    41,660x = 64,951 × 64,951
  4. Step 4: Simplify right side
    41,660x = 4,218,632,401
  5. Step 5: Solve for x
    x = 4,218,632,401/41,660
  6. Step 6: Final answer
    x = 101,263.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.