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Finding the Third Proportional to 22,544 and 26,096

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Solution

The third proportional to 22,544 and 26,096 is: 30,207.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,544 : 26,096 = 26,096 : x
  2. Step 2: Convert to fraction form
    22,544/26,096 = 26,096/x
  3. Step 3: Cross multiply
    22,544x = 26,096 × 26,096
  4. Step 4: Simplify right side
    22,544x = 681,001,216
  5. Step 5: Solve for x
    x = 681,001,216/22,544
  6. Step 6: Final answer
    x = 30,207.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.