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Finding the Third Proportional to 5,516.75 and 13,012

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Solution

The third proportional to 5,516.75 and 13,012 is: 30,690.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,516.75 : 13,012 = 13,012 : x
  2. Step 2: Convert to fraction form
    5,516.75/13,012 = 13,012/x
  3. Step 3: Cross multiply
    5,516.75x = 13,012 × 13,012
  4. Step 4: Simplify right side
    5,516.75x = 169,312,144
  5. Step 5: Solve for x
    x = 169,312,144/5,516.75
  6. Step 6: Final answer
    x = 30,690.56

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.