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Finding the Third Proportional to 1,426.36 and 3,076.73

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Solution

The third proportional to 1,426.36 and 3,076.73 is: 6,636.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.36 : 3,076.73 = 3,076.73 : x
  2. Step 2: Convert to fraction form
    1,426.36/3,076.73 = 3,076.73/x
  3. Step 3: Cross multiply
    1,426.36x = 3,076.73 × 3,076.73
  4. Step 4: Simplify right side
    1,426.36x = 9,466,294.41
  5. Step 5: Solve for x
    x = 9,466,294.41/1,426.36
  6. Step 6: Final answer
    x = 6,636.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.