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Finding the Third Proportional to 13,962 and 32,934

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Solution

The third proportional to 13,962 and 32,934 is: 77,685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,962 : 32,934 = 32,934 : x
  2. Step 2: Convert to fraction form
    13,962/32,934 = 32,934/x
  3. Step 3: Cross multiply
    13,962x = 32,934 × 32,934
  4. Step 4: Simplify right side
    13,962x = 1,084,648,356
  5. Step 5: Solve for x
    x = 1,084,648,356/13,962
  6. Step 6: Final answer
    x = 77,685.74

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