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Finding the Third Proportional to 2,416.50 and 5,299.97

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Solution

The third proportional to 2,416.50 and 5,299.97 is: 11,624.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.50 : 5,299.97 = 5,299.97 : x
  2. Step 2: Convert to fraction form
    2,416.50/5,299.97 = 5,299.97/x
  3. Step 3: Cross multiply
    2,416.50x = 5,299.97 × 5,299.97
  4. Step 4: Simplify right side
    2,416.50x = 28,089,668.75
  5. Step 5: Solve for x
    x = 28,089,668.75/2,416.50
  6. Step 6: Final answer
    x = 11,624.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.