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Finding the Third Proportional to 3,106.97 and 4,513.78

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Solution

The third proportional to 3,106.97 and 4,513.78 is: 6,557.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.97 : 4,513.78 = 4,513.78 : x
  2. Step 2: Convert to fraction form
    3,106.97/4,513.78 = 4,513.78/x
  3. Step 3: Cross multiply
    3,106.97x = 4,513.78 × 4,513.78
  4. Step 4: Simplify right side
    3,106.97x = 20,374,221.17
  5. Step 5: Solve for x
    x = 20,374,221.17/3,106.97
  6. Step 6: Final answer
    x = 6,557.59

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.