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Finding the Third Proportional to 13,753 and 21,452

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Solution

The third proportional to 13,753 and 21,452 is: 33,460.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,753 : 21,452 = 21,452 : x
  2. Step 2: Convert to fraction form
    13,753/21,452 = 21,452/x
  3. Step 3: Cross multiply
    13,753x = 21,452 × 21,452
  4. Step 4: Simplify right side
    13,753x = 460,188,304
  5. Step 5: Solve for x
    x = 460,188,304/13,753
  6. Step 6: Final answer
    x = 33,460.94

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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.