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Finding the Third Proportional to 13,962 and 21,582

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Solution

The third proportional to 13,962 and 21,582 is: 33,360.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,962 : 21,582 = 21,582 : x
  2. Step 2: Convert to fraction form
    13,962/21,582 = 21,582/x
  3. Step 3: Cross multiply
    13,962x = 21,582 × 21,582
  4. Step 4: Simplify right side
    13,962x = 465,782,724
  5. Step 5: Solve for x
    x = 465,782,724/13,962
  6. Step 6: Final answer
    x = 33,360.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.