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Finding the Third Proportional to 9,631 and 20,645

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Solution

The third proportional to 9,631 and 20,645 is: 44,254.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,631 : 20,645 = 20,645 : x
  2. Step 2: Convert to fraction form
    9,631/20,645 = 20,645/x
  3. Step 3: Cross multiply
    9,631x = 20,645 × 20,645
  4. Step 4: Simplify right side
    9,631x = 426,216,025
  5. Step 5: Solve for x
    x = 426,216,025/9,631
  6. Step 6: Final answer
    x = 44,254.60

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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.