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Finding the Third Proportional to 3,102.75 and 4,797.56

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Solution

The third proportional to 3,102.75 and 4,797.56 is: 7,418.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.75 : 4,797.56 = 4,797.56 : x
  2. Step 2: Convert to fraction form
    3,102.75/4,797.56 = 4,797.56/x
  3. Step 3: Cross multiply
    3,102.75x = 4,797.56 × 4,797.56
  4. Step 4: Simplify right side
    3,102.75x = 23,016,605.94
  5. Step 5: Solve for x
    x = 23,016,605.94/3,102.75
  6. Step 6: Final answer
    x = 7,418.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.