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Finding the Third Proportional to 9,944 and 16,176

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Solution

The third proportional to 9,944 and 16,176 is: 26,313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,944 : 16,176 = 16,176 : x
  2. Step 2: Convert to fraction form
    9,944/16,176 = 16,176/x
  3. Step 3: Cross multiply
    9,944x = 16,176 × 16,176
  4. Step 4: Simplify right side
    9,944x = 261,662,976
  5. Step 5: Solve for x
    x = 261,662,976/9,944
  6. Step 6: Final answer
    x = 26,313.65

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.