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Finding the Third Proportional to 9,626 and 20,642

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Solution

The third proportional to 9,626 and 20,642 is: 44,264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626 : 20,642 = 20,642 : x
  2. Step 2: Convert to fraction form
    9,626/20,642 = 20,642/x
  3. Step 3: Cross multiply
    9,626x = 20,642 × 20,642
  4. Step 4: Simplify right side
    9,626x = 426,092,164
  5. Step 5: Solve for x
    x = 426,092,164/9,626
  6. Step 6: Final answer
    x = 44,264.72

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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.