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Finding the Third Proportional to 3,462 and 5,192.25

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Solution

The third proportional to 3,462 and 5,192.25 is: 7,787.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462 : 5,192.25 = 5,192.25 : x
  2. Step 2: Convert to fraction form
    3,462/5,192.25 = 5,192.25/x
  3. Step 3: Cross multiply
    3,462x = 5,192.25 × 5,192.25
  4. Step 4: Simplify right side
    3,462x = 26,959,460.06
  5. Step 5: Solve for x
    x = 26,959,460.06/3,462
  6. Step 6: Final answer
    x = 7,787.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.