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Finding the Third Proportional to 4,964.44 and 7,331.16

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Solution

The third proportional to 4,964.44 and 7,331.16 is: 10,826.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.44 : 7,331.16 = 7,331.16 : x
  2. Step 2: Convert to fraction form
    4,964.44/7,331.16 = 7,331.16/x
  3. Step 3: Cross multiply
    4,964.44x = 7,331.16 × 7,331.16
  4. Step 4: Simplify right side
    4,964.44x = 53,745,851.96
  5. Step 5: Solve for x
    x = 53,745,851.96/4,964.44
  6. Step 6: Final answer
    x = 10,826.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.