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Finding the Third Proportional to 9,279.56 and 20,313.28

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Solution

The third proportional to 9,279.56 and 20,313.28 is: 44,466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,279.56 : 20,313.28 = 20,313.28 : x
  2. Step 2: Convert to fraction form
    9,279.56/20,313.28 = 20,313.28/x
  3. Step 3: Cross multiply
    9,279.56x = 20,313.28 × 20,313.28
  4. Step 4: Simplify right side
    9,279.56x = 412,629,395.14
  5. Step 5: Solve for x
    x = 412,629,395.14/9,279.56
  6. Step 6: Final answer
    x = 44,466.47

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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.