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Finding the Third Proportional to 9,529 and 20,209

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Solution

The third proportional to 9,529 and 20,209 is: 42,859.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,529 : 20,209 = 20,209 : x
  2. Step 2: Convert to fraction form
    9,529/20,209 = 20,209/x
  3. Step 3: Cross multiply
    9,529x = 20,209 × 20,209
  4. Step 4: Simplify right side
    9,529x = 408,403,681
  5. Step 5: Solve for x
    x = 408,403,681/9,529
  6. Step 6: Final answer
    x = 42,859.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.