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Finding the Third Proportional to 3,098.25 and 4,205.25

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Solution

The third proportional to 3,098.25 and 4,205.25 is: 5,707.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.25 : 4,205.25 = 4,205.25 : x
  2. Step 2: Convert to fraction form
    3,098.25/4,205.25 = 4,205.25/x
  3. Step 3: Cross multiply
    3,098.25x = 4,205.25 × 4,205.25
  4. Step 4: Simplify right side
    3,098.25x = 17,684,127.56
  5. Step 5: Solve for x
    x = 17,684,127.56/3,098.25
  6. Step 6: Final answer
    x = 5,707.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.