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Finding the Third Proportional to 8,444 and 10,244

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Solution

The third proportional to 8,444 and 10,244 is: 12,427.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,444 : 10,244 = 10,244 : x
  2. Step 2: Convert to fraction form
    8,444/10,244 = 10,244/x
  3. Step 3: Cross multiply
    8,444x = 10,244 × 10,244
  4. Step 4: Simplify right side
    8,444x = 104,939,536
  5. Step 5: Solve for x
    x = 104,939,536/8,444
  6. Step 6: Final answer
    x = 12,427.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.