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Finding the Third Proportional to 3,103.45 and 4,808.46

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Solution

The third proportional to 3,103.45 and 4,808.46 is: 7,450.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.45 : 4,808.46 = 4,808.46 : x
  2. Step 2: Convert to fraction form
    3,103.45/4,808.46 = 4,808.46/x
  3. Step 3: Cross multiply
    3,103.45x = 4,808.46 × 4,808.46
  4. Step 4: Simplify right side
    3,103.45x = 23,121,296.59
  5. Step 5: Solve for x
    x = 23,121,296.59/3,103.45
  6. Step 6: Final answer
    x = 7,450.18

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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.