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Finding the Third Proportional to 41,699 and 64,661

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Solution

The third proportional to 41,699 and 64,661 is: 100,267.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,699 : 64,661 = 64,661 : x
  2. Step 2: Convert to fraction form
    41,699/64,661 = 64,661/x
  3. Step 3: Cross multiply
    41,699x = 64,661 × 64,661
  4. Step 4: Simplify right side
    41,699x = 4,181,044,921
  5. Step 5: Solve for x
    x = 4,181,044,921/41,699
  6. Step 6: Final answer
    x = 100,267.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.