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Finding the Third Proportional to 11,649.75 and 24,939.75

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Solution

The third proportional to 11,649.75 and 24,939.75 is: 53,390.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.75 : 24,939.75 = 24,939.75 : x
  2. Step 2: Convert to fraction form
    11,649.75/24,939.75 = 24,939.75/x
  3. Step 3: Cross multiply
    11,649.75x = 24,939.75 × 24,939.75
  4. Step 4: Simplify right side
    11,649.75x = 621,991,130.06
  5. Step 5: Solve for x
    x = 621,991,130.06/11,649.75
  6. Step 6: Final answer
    x = 53,390.94

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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.