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Finding the Third Proportional to 5,382.07 and 11,669.70

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Solution

The third proportional to 5,382.07 and 11,669.70 is: 25,302.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.07 : 11,669.70 = 11,669.70 : x
  2. Step 2: Convert to fraction form
    5,382.07/11,669.70 = 11,669.70/x
  3. Step 3: Cross multiply
    5,382.07x = 11,669.70 × 11,669.70
  4. Step 4: Simplify right side
    5,382.07x = 136,181,788.69
  5. Step 5: Solve for x
    x = 136,181,788.69/5,382.07
  6. Step 6: Final answer
    x = 25,302.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.