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Finding the Third Proportional to 1,796.18 and 2,473.29

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Solution

The third proportional to 1,796.18 and 2,473.29 is: 3,405.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.18 : 2,473.29 = 2,473.29 : x
  2. Step 2: Convert to fraction form
    1,796.18/2,473.29 = 2,473.29/x
  3. Step 3: Cross multiply
    1,796.18x = 2,473.29 × 2,473.29
  4. Step 4: Simplify right side
    1,796.18x = 6,117,161.28
  5. Step 5: Solve for x
    x = 6,117,161.28/1,796.18
  6. Step 6: Final answer
    x = 3,405.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.