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Finding the Third Proportional to 2,416.31 and 5,299.59

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Solution

The third proportional to 2,416.31 and 5,299.59 is: 11,623.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.31 : 5,299.59 = 5,299.59 : x
  2. Step 2: Convert to fraction form
    2,416.31/5,299.59 = 5,299.59/x
  3. Step 3: Cross multiply
    2,416.31x = 5,299.59 × 5,299.59
  4. Step 4: Simplify right side
    2,416.31x = 28,085,693.92
  5. Step 5: Solve for x
    x = 28,085,693.92/2,416.31
  6. Step 6: Final answer
    x = 11,623.37

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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.