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Finding the Third Proportional to 2,345.04 and 3,383.02

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Solution

The third proportional to 2,345.04 and 3,383.02 is: 4,880.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.04 : 3,383.02 = 3,383.02 : x
  2. Step 2: Convert to fraction form
    2,345.04/3,383.02 = 3,383.02/x
  3. Step 3: Cross multiply
    2,345.04x = 3,383.02 × 3,383.02
  4. Step 4: Simplify right side
    2,345.04x = 11,444,794.72
  5. Step 5: Solve for x
    x = 11,444,794.72/2,345.04
  6. Step 6: Final answer
    x = 4,880.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.