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Finding the Third Proportional to 13,692 and 21,300

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Solution

The third proportional to 13,692 and 21,300 is: 33,135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692 : 21,300 = 21,300 : x
  2. Step 2: Convert to fraction form
    13,692/21,300 = 21,300/x
  3. Step 3: Cross multiply
    13,692x = 21,300 × 21,300
  4. Step 4: Simplify right side
    13,692x = 453,690,000
  5. Step 5: Solve for x
    x = 453,690,000/13,692
  6. Step 6: Final answer
    x = 33,135.41

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.