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Finding the Third Proportional to 6,214 and 12,422

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Solution

The third proportional to 6,214 and 12,422 is: 24,832.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214 : 12,422 = 12,422 : x
  2. Step 2: Convert to fraction form
    6,214/12,422 = 12,422/x
  3. Step 3: Cross multiply
    6,214x = 12,422 × 12,422
  4. Step 4: Simplify right side
    6,214x = 154,306,084
  5. Step 5: Solve for x
    x = 154,306,084/6,214
  6. Step 6: Final answer
    x = 24,832.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.