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Finding the Third Proportional to 1,192.13 and 2,539.25

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Solution

The third proportional to 1,192.13 and 2,539.25 is: 5,408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.13 : 2,539.25 = 2,539.25 : x
  2. Step 2: Convert to fraction form
    1,192.13/2,539.25 = 2,539.25/x
  3. Step 3: Cross multiply
    1,192.13x = 2,539.25 × 2,539.25
  4. Step 4: Simplify right side
    1,192.13x = 6,447,790.56
  5. Step 5: Solve for x
    x = 6,447,790.56/1,192.13
  6. Step 6: Final answer
    x = 5,408.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.