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Finding the Third Proportional to 9,750 and 13,173

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Solution

The third proportional to 9,750 and 13,173 is: 17,797.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750 : 13,173 = 13,173 : x
  2. Step 2: Convert to fraction form
    9,750/13,173 = 13,173/x
  3. Step 3: Cross multiply
    9,750x = 13,173 × 13,173
  4. Step 4: Simplify right side
    9,750x = 173,527,929
  5. Step 5: Solve for x
    x = 173,527,929/9,750
  6. Step 6: Final answer
    x = 17,797.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.