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Finding the Third Proportional to 1,617.23 and 3,302.53

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Solution

The third proportional to 1,617.23 and 3,302.53 is: 6,744.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.23 : 3,302.53 = 3,302.53 : x
  2. Step 2: Convert to fraction form
    1,617.23/3,302.53 = 3,302.53/x
  3. Step 3: Cross multiply
    1,617.23x = 3,302.53 × 3,302.53
  4. Step 4: Simplify right side
    1,617.23x = 10,906,712.66
  5. Step 5: Solve for x
    x = 10,906,712.66/1,617.23
  6. Step 6: Final answer
    x = 6,744.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.