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Finding the Third Proportional to 12,844 and 26,084

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Solution

The third proportional to 12,844 and 26,084 is: 52,972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,844 : 26,084 = 26,084 : x
  2. Step 2: Convert to fraction form
    12,844/26,084 = 26,084/x
  3. Step 3: Cross multiply
    12,844x = 26,084 × 26,084
  4. Step 4: Simplify right side
    12,844x = 680,375,056
  5. Step 5: Solve for x
    x = 680,375,056/12,844
  6. Step 6: Final answer
    x = 52,972.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.