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Finding the Third Proportional to 2,739.45 and 5,564.32

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Solution

The third proportional to 2,739.45 and 5,564.32 is: 11,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.45 : 5,564.32 = 5,564.32 : x
  2. Step 2: Convert to fraction form
    2,739.45/5,564.32 = 5,564.32/x
  3. Step 3: Cross multiply
    2,739.45x = 5,564.32 × 5,564.32
  4. Step 4: Simplify right side
    2,739.45x = 30,961,660.54
  5. Step 5: Solve for x
    x = 30,961,660.54/2,739.45
  6. Step 6: Final answer
    x = 11,302.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.