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Finding the Third Proportional to 9,750 and 12,762

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Solution

The third proportional to 9,750 and 12,762 is: 16,704.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750 : 12,762 = 12,762 : x
  2. Step 2: Convert to fraction form
    9,750/12,762 = 12,762/x
  3. Step 3: Cross multiply
    9,750x = 12,762 × 12,762
  4. Step 4: Simplify right side
    9,750x = 162,868,644
  5. Step 5: Solve for x
    x = 162,868,644/9,750
  6. Step 6: Final answer
    x = 16,704.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.