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Finding the Third Proportional to 9,467 and 16,745

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Solution

The third proportional to 9,467 and 16,745 is: 29,618.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467 : 16,745 = 16,745 : x
  2. Step 2: Convert to fraction form
    9,467/16,745 = 16,745/x
  3. Step 3: Cross multiply
    9,467x = 16,745 × 16,745
  4. Step 4: Simplify right side
    9,467x = 280,395,025
  5. Step 5: Solve for x
    x = 280,395,025/9,467
  6. Step 6: Final answer
    x = 29,618.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.