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Finding the Third Proportional to 14,018 and 21,027

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Solution

The third proportional to 14,018 and 21,027 is: 31,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,018 : 21,027 = 21,027 : x
  2. Step 2: Convert to fraction form
    14,018/21,027 = 21,027/x
  3. Step 3: Cross multiply
    14,018x = 21,027 × 21,027
  4. Step 4: Simplify right side
    14,018x = 442,134,729
  5. Step 5: Solve for x
    x = 442,134,729/14,018
  6. Step 6: Final answer
    x = 31,540.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.