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Finding the Third Proportional to 13,680.50 and 29,233

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Solution

The third proportional to 13,680.50 and 29,233 is: 62,466.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,680.50 : 29,233 = 29,233 : x
  2. Step 2: Convert to fraction form
    13,680.50/29,233 = 29,233/x
  3. Step 3: Cross multiply
    13,680.50x = 29,233 × 29,233
  4. Step 4: Simplify right side
    13,680.50x = 854,568,289
  5. Step 5: Solve for x
    x = 854,568,289/13,680.50
  6. Step 6: Final answer
    x = 62,466.16

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.