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Finding the Third Proportional to 23,649.75 and 51,738.75

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Solution

The third proportional to 23,649.75 and 51,738.75 is: 113,189.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,649.75 : 51,738.75 = 51,738.75 : x
  2. Step 2: Convert to fraction form
    23,649.75/51,738.75 = 51,738.75/x
  3. Step 3: Cross multiply
    23,649.75x = 51,738.75 × 51,738.75
  4. Step 4: Simplify right side
    23,649.75x = 2,676,898,251.56
  5. Step 5: Solve for x
    x = 2,676,898,251.56/23,649.75
  6. Step 6: Final answer
    x = 113,189.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.