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Finding the Third Proportional to 4,757.06 and 10,331.72

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Solution

The third proportional to 4,757.06 and 10,331.72 is: 22,439.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.06 : 10,331.72 = 10,331.72 : x
  2. Step 2: Convert to fraction form
    4,757.06/10,331.72 = 10,331.72/x
  3. Step 3: Cross multiply
    4,757.06x = 10,331.72 × 10,331.72
  4. Step 4: Simplify right side
    4,757.06x = 106,744,412.33
  5. Step 5: Solve for x
    x = 106,744,412.33/4,757.06
  6. Step 6: Final answer
    x = 22,439.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.