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Finding the Third Proportional to 1,593.42 and 2,341.20

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Solution

The third proportional to 1,593.42 and 2,341.20 is: 3,439.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.42 : 2,341.20 = 2,341.20 : x
  2. Step 2: Convert to fraction form
    1,593.42/2,341.20 = 2,341.20/x
  3. Step 3: Cross multiply
    1,593.42x = 2,341.20 × 2,341.20
  4. Step 4: Simplify right side
    1,593.42x = 5,481,195.49
  5. Step 5: Solve for x
    x = 5,481,195.49/1,593.42
  6. Step 6: Final answer
    x = 3,439.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.