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Finding the Third Proportional to 10,444 and 16,199

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Solution

The third proportional to 10,444 and 16,199 is: 25,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444 : 16,199 = 16,199 : x
  2. Step 2: Convert to fraction form
    10,444/16,199 = 16,199/x
  3. Step 3: Cross multiply
    10,444x = 16,199 × 16,199
  4. Step 4: Simplify right side
    10,444x = 262,407,601
  5. Step 5: Solve for x
    x = 262,407,601/10,444
  6. Step 6: Final answer
    x = 25,125.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.