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Finding the Third Proportional to 4,506.75 and 11,868.75

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Solution

The third proportional to 4,506.75 and 11,868.75 is: 31,256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.75 : 11,868.75 = 11,868.75 : x
  2. Step 2: Convert to fraction form
    4,506.75/11,868.75 = 11,868.75/x
  3. Step 3: Cross multiply
    4,506.75x = 11,868.75 × 11,868.75
  4. Step 4: Simplify right side
    4,506.75x = 140,867,226.56
  5. Step 5: Solve for x
    x = 140,867,226.56/4,506.75
  6. Step 6: Final answer
    x = 31,256.94

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.