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Finding the Third Proportional to 11,929.78 and 25,165.69

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Solution

The third proportional to 11,929.78 and 25,165.69 is: 53,086.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,929.78 : 25,165.69 = 25,165.69 : x
  2. Step 2: Convert to fraction form
    11,929.78/25,165.69 = 25,165.69/x
  3. Step 3: Cross multiply
    11,929.78x = 25,165.69 × 25,165.69
  4. Step 4: Simplify right side
    11,929.78x = 633,311,827.35
  5. Step 5: Solve for x
    x = 633,311,827.35/11,929.78
  6. Step 6: Final answer
    x = 53,086.63

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.