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Finding the Third Proportional to 3,358.13 and 3,753

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Solution

The third proportional to 3,358.13 and 3,753 is: 4,194.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,358.13 : 3,753 = 3,753 : x
  2. Step 2: Convert to fraction form
    3,358.13/3,753 = 3,753/x
  3. Step 3: Cross multiply
    3,358.13x = 3,753 × 3,753
  4. Step 4: Simplify right side
    3,358.13x = 14,085,009
  5. Step 5: Solve for x
    x = 14,085,009/3,358.13
  6. Step 6: Final answer
    x = 4,194.31

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.