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Finding the Third Proportional to 4,734 and 10,322.44

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Solution

The third proportional to 4,734 and 10,322.44 is: 22,507.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734 : 10,322.44 = 10,322.44 : x
  2. Step 2: Convert to fraction form
    4,734/10,322.44 = 10,322.44/x
  3. Step 3: Cross multiply
    4,734x = 10,322.44 × 10,322.44
  4. Step 4: Simplify right side
    4,734x = 106,552,715.94
  5. Step 5: Solve for x
    x = 106,552,715.94/4,734
  6. Step 6: Final answer
    x = 22,507.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.