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Finding the Third Proportional to 4,056.75 and 9,721.69

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Solution

The third proportional to 4,056.75 and 9,721.69 is: 23,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,056.75 : 9,721.69 = 9,721.69 : x
  2. Step 2: Convert to fraction form
    4,056.75/9,721.69 = 9,721.69/x
  3. Step 3: Cross multiply
    4,056.75x = 9,721.69 × 9,721.69
  4. Step 4: Simplify right side
    4,056.75x = 94,511,207.85
  5. Step 5: Solve for x
    x = 94,511,207.85/4,056.75
  6. Step 6: Final answer
    x = 23,297.27

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.