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Finding the Third Proportional to 9,626 and 20,738

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Solution

The third proportional to 9,626 and 20,738 is: 44,677.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626 : 20,738 = 20,738 : x
  2. Step 2: Convert to fraction form
    9,626/20,738 = 20,738/x
  3. Step 3: Cross multiply
    9,626x = 20,738 × 20,738
  4. Step 4: Simplify right side
    9,626x = 430,064,644
  5. Step 5: Solve for x
    x = 430,064,644/9,626
  6. Step 6: Final answer
    x = 44,677.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.