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Finding the Third Proportional to 4,831 and 10,584.50

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Solution

The third proportional to 4,831 and 10,584.50 is: 23,190.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,831 : 10,584.50 = 10,584.50 : x
  2. Step 2: Convert to fraction form
    4,831/10,584.50 = 10,584.50/x
  3. Step 3: Cross multiply
    4,831x = 10,584.50 × 10,584.50
  4. Step 4: Simplify right side
    4,831x = 112,031,640.25
  5. Step 5: Solve for x
    x = 112,031,640.25/4,831
  6. Step 6: Final answer
    x = 23,190.16

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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.