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Finding the Third Proportional to 9,699 and 20,802

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Solution

The third proportional to 9,699 and 20,802 is: 44,615.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699 : 20,802 = 20,802 : x
  2. Step 2: Convert to fraction form
    9,699/20,802 = 20,802/x
  3. Step 3: Cross multiply
    9,699x = 20,802 × 20,802
  4. Step 4: Simplify right side
    9,699x = 432,723,204
  5. Step 5: Solve for x
    x = 432,723,204/9,699
  6. Step 6: Final answer
    x = 44,615.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.