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Finding the Third Proportional to 11,650.78 and 24,934.22

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Solution

The third proportional to 11,650.78 and 24,934.22 is: 53,362.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.78 : 24,934.22 = 24,934.22 : x
  2. Step 2: Convert to fraction form
    11,650.78/24,934.22 = 24,934.22/x
  3. Step 3: Cross multiply
    11,650.78x = 24,934.22 × 24,934.22
  4. Step 4: Simplify right side
    11,650.78x = 621,715,264.67
  5. Step 5: Solve for x
    x = 621,715,264.67/11,650.78
  6. Step 6: Final answer
    x = 53,362.54

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.