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Finding the Third Proportional to 2,135.35 and 4,690.96

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Solution

The third proportional to 2,135.35 and 4,690.96 is: 10,305.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.35 : 4,690.96 = 4,690.96 : x
  2. Step 2: Convert to fraction form
    2,135.35/4,690.96 = 4,690.96/x
  3. Step 3: Cross multiply
    2,135.35x = 4,690.96 × 4,690.96
  4. Step 4: Simplify right side
    2,135.35x = 22,005,105.36
  5. Step 5: Solve for x
    x = 22,005,105.36/2,135.35
  6. Step 6: Final answer
    x = 10,305.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.