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Finding the Third Proportional to 13,966 and 32,938

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Solution

The third proportional to 13,966 and 32,938 is: 77,682.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,966 : 32,938 = 32,938 : x
  2. Step 2: Convert to fraction form
    13,966/32,938 = 32,938/x
  3. Step 3: Cross multiply
    13,966x = 32,938 × 32,938
  4. Step 4: Simplify right side
    13,966x = 1,084,911,844
  5. Step 5: Solve for x
    x = 1,084,911,844/13,966
  6. Step 6: Final answer
    x = 77,682.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.