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Finding the Third Proportional to 12,132 and 16,938

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Solution

The third proportional to 12,132 and 16,938 is: 23,647.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132 : 16,938 = 16,938 : x
  2. Step 2: Convert to fraction form
    12,132/16,938 = 16,938/x
  3. Step 3: Cross multiply
    12,132x = 16,938 × 16,938
  4. Step 4: Simplify right side
    12,132x = 286,895,844
  5. Step 5: Solve for x
    x = 286,895,844/12,132
  6. Step 6: Final answer
    x = 23,647.86

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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.