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Finding the Third Proportional to 1,542.94 and 2,353.22

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Solution

The third proportional to 1,542.94 and 2,353.22 is: 3,589.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.94 : 2,353.22 = 2,353.22 : x
  2. Step 2: Convert to fraction form
    1,542.94/2,353.22 = 2,353.22/x
  3. Step 3: Cross multiply
    1,542.94x = 2,353.22 × 2,353.22
  4. Step 4: Simplify right side
    1,542.94x = 5,537,638.49
  5. Step 5: Solve for x
    x = 5,537,638.49/1,542.94
  6. Step 6: Final answer
    x = 3,589.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.