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Finding the Third Proportional to 4,462 and 9,769

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Solution

The third proportional to 4,462 and 9,769 is: 21,388.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462 : 9,769 = 9,769 : x
  2. Step 2: Convert to fraction form
    4,462/9,769 = 9,769/x
  3. Step 3: Cross multiply
    4,462x = 9,769 × 9,769
  4. Step 4: Simplify right side
    4,462x = 95,433,361
  5. Step 5: Solve for x
    x = 95,433,361/4,462
  6. Step 6: Final answer
    x = 21,388.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.