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Finding the Third Proportional to 3,100.78 and 4,638.09

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Solution

The third proportional to 3,100.78 and 4,638.09 is: 6,937.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.78 : 4,638.09 = 4,638.09 : x
  2. Step 2: Convert to fraction form
    3,100.78/4,638.09 = 4,638.09/x
  3. Step 3: Cross multiply
    3,100.78x = 4,638.09 × 4,638.09
  4. Step 4: Simplify right side
    3,100.78x = 21,511,913.63
  5. Step 5: Solve for x
    x = 21,511,913.63/3,100.78
  6. Step 6: Final answer
    x = 6,937.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.