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Finding the Third Proportional to 9,599 and 20,942

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Solution

The third proportional to 9,599 and 20,942 is: 45,688.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599 : 20,942 = 20,942 : x
  2. Step 2: Convert to fraction form
    9,599/20,942 = 20,942/x
  3. Step 3: Cross multiply
    9,599x = 20,942 × 20,942
  4. Step 4: Simplify right side
    9,599x = 438,567,364
  5. Step 5: Solve for x
    x = 438,567,364/9,599
  6. Step 6: Final answer
    x = 45,688.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.