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Finding the Third Proportional to 3,398.63 and 7,433.44

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Solution

The third proportional to 3,398.63 and 7,433.44 is: 16,258.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.63 : 7,433.44 = 7,433.44 : x
  2. Step 2: Convert to fraction form
    3,398.63/7,433.44 = 7,433.44/x
  3. Step 3: Cross multiply
    3,398.63x = 7,433.44 × 7,433.44
  4. Step 4: Simplify right side
    3,398.63x = 55,255,993.07
  5. Step 5: Solve for x
    x = 55,255,993.07/3,398.63
  6. Step 6: Final answer
    x = 16,258.34

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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.