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Finding the Third Proportional to 18,214 and 23,938

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Solution

The third proportional to 18,214 and 23,938 is: 31,460.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,214 : 23,938 = 23,938 : x
  2. Step 2: Convert to fraction form
    18,214/23,938 = 23,938/x
  3. Step 3: Cross multiply
    18,214x = 23,938 × 23,938
  4. Step 4: Simplify right side
    18,214x = 573,027,844
  5. Step 5: Solve for x
    x = 573,027,844/18,214
  6. Step 6: Final answer
    x = 31,460.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.