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Finding the Third Proportional to 1,614.09 and 3,593.53

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Solution

The third proportional to 1,614.09 and 3,593.53 is: 8,000.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.09 : 3,593.53 = 3,593.53 : x
  2. Step 2: Convert to fraction form
    1,614.09/3,593.53 = 3,593.53/x
  3. Step 3: Cross multiply
    1,614.09x = 3,593.53 × 3,593.53
  4. Step 4: Simplify right side
    1,614.09x = 12,913,466.84
  5. Step 5: Solve for x
    x = 12,913,466.84/1,614.09
  6. Step 6: Final answer
    x = 8,000.44

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.