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Finding the Third Proportional to 2,845.13 and 3,462.75

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Solution

The third proportional to 2,845.13 and 3,462.75 is: 4,214.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,845.13 : 3,462.75 = 3,462.75 : x
  2. Step 2: Convert to fraction form
    2,845.13/3,462.75 = 3,462.75/x
  3. Step 3: Cross multiply
    2,845.13x = 3,462.75 × 3,462.75
  4. Step 4: Simplify right side
    2,845.13x = 11,990,637.56
  5. Step 5: Solve for x
    x = 11,990,637.56/2,845.13
  6. Step 6: Final answer
    x = 4,214.45

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.