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Finding the Third Proportional to 23,368.13 and 51,408.75

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Solution

The third proportional to 23,368.13 and 51,408.75 is: 113,096.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,368.13 : 51,408.75 = 51,408.75 : x
  2. Step 2: Convert to fraction form
    23,368.13/51,408.75 = 51,408.75/x
  3. Step 3: Cross multiply
    23,368.13x = 51,408.75 × 51,408.75
  4. Step 4: Simplify right side
    23,368.13x = 2,642,859,576.56
  5. Step 5: Solve for x
    x = 2,642,859,576.56/23,368.13
  6. Step 6: Final answer
    x = 113,096.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.