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Finding the Third Proportional to 11,003.34 and 13,433.34

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Solution

The third proportional to 11,003.34 and 13,433.34 is: 16,399.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,003.34 : 13,433.34 = 13,433.34 : x
  2. Step 2: Convert to fraction form
    11,003.34/13,433.34 = 13,433.34/x
  3. Step 3: Cross multiply
    11,003.34x = 13,433.34 × 13,433.34
  4. Step 4: Simplify right side
    11,003.34x = 180,454,724.31
  5. Step 5: Solve for x
    x = 180,454,724.31/11,003.34
  6. Step 6: Final answer
    x = 16,399.99

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.