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Finding the Third Proportional to 4,806.21 and 10,331.30

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Solution

The third proportional to 4,806.21 and 10,331.30 is: 22,207.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.21 : 10,331.30 = 10,331.30 : x
  2. Step 2: Convert to fraction form
    4,806.21/10,331.30 = 10,331.30/x
  3. Step 3: Cross multiply
    4,806.21x = 10,331.30 × 10,331.30
  4. Step 4: Simplify right side
    4,806.21x = 106,735,695.12
  5. Step 5: Solve for x
    x = 106,735,695.12/4,806.21
  6. Step 6: Final answer
    x = 22,207.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.