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Finding the Third Proportional to 14,367 and 22,938

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Solution

The third proportional to 14,367 and 22,938 is: 36,622.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,367 : 22,938 = 22,938 : x
  2. Step 2: Convert to fraction form
    14,367/22,938 = 22,938/x
  3. Step 3: Cross multiply
    14,367x = 22,938 × 22,938
  4. Step 4: Simplify right side
    14,367x = 526,151,844
  5. Step 5: Solve for x
    x = 526,151,844/14,367
  6. Step 6: Final answer
    x = 36,622.25

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.