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Finding the Third Proportional to 9,599 and 20,773

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Solution

The third proportional to 9,599 and 20,773 is: 44,954.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599 : 20,773 = 20,773 : x
  2. Step 2: Convert to fraction form
    9,599/20,773 = 20,773/x
  3. Step 3: Cross multiply
    9,599x = 20,773 × 20,773
  4. Step 4: Simplify right side
    9,599x = 431,517,529
  5. Step 5: Solve for x
    x = 431,517,529/9,599
  6. Step 6: Final answer
    x = 44,954.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.