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Finding the Third Proportional to 13,168 and 27,885.25

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Solution

The third proportional to 13,168 and 27,885.25 is: 59,051.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,168 : 27,885.25 = 27,885.25 : x
  2. Step 2: Convert to fraction form
    13,168/27,885.25 = 27,885.25/x
  3. Step 3: Cross multiply
    13,168x = 27,885.25 × 27,885.25
  4. Step 4: Simplify right side
    13,168x = 777,587,167.56
  5. Step 5: Solve for x
    x = 777,587,167.56/13,168
  6. Step 6: Final answer
    x = 59,051.27

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.