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Finding the Third Proportional to 18,812 and 26,302

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Solution

The third proportional to 18,812 and 26,302 is: 36,774.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,812 : 26,302 = 26,302 : x
  2. Step 2: Convert to fraction form
    18,812/26,302 = 26,302/x
  3. Step 3: Cross multiply
    18,812x = 26,302 × 26,302
  4. Step 4: Simplify right side
    18,812x = 691,795,204
  5. Step 5: Solve for x
    x = 691,795,204/18,812
  6. Step 6: Final answer
    x = 36,774.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.