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Finding the Third Proportional to 9,444 and 12,644

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Solution

The third proportional to 9,444 and 12,644 is: 16,928.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444 : 12,644 = 12,644 : x
  2. Step 2: Convert to fraction form
    9,444/12,644 = 12,644/x
  3. Step 3: Cross multiply
    9,444x = 12,644 × 12,644
  4. Step 4: Simplify right side
    9,444x = 159,870,736
  5. Step 5: Solve for x
    x = 159,870,736/9,444
  6. Step 6: Final answer
    x = 16,928.29

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.