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Finding the Third Proportional to 11,664.19 and 25,150.69

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Solution

The third proportional to 11,664.19 and 25,150.69 is: 54,230.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.19 : 25,150.69 = 25,150.69 : x
  2. Step 2: Convert to fraction form
    11,664.19/25,150.69 = 25,150.69/x
  3. Step 3: Cross multiply
    11,664.19x = 25,150.69 × 25,150.69
  4. Step 4: Simplify right side
    11,664.19x = 632,557,081.72
  5. Step 5: Solve for x
    x = 632,557,081.72/11,664.19
  6. Step 6: Final answer
    x = 54,230.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.