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Finding the Third Proportional to 850.78 and 2,048.06

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Solution

The third proportional to 850.78 and 2,048.06 is: 4,930.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.78 : 2,048.06 = 2,048.06 : x
  2. Step 2: Convert to fraction form
    850.78/2,048.06 = 2,048.06/x
  3. Step 3: Cross multiply
    850.78x = 2,048.06 × 2,048.06
  4. Step 4: Simplify right side
    850.78x = 4,194,560.00
  5. Step 5: Solve for x
    x = 4,194,560.00/850.78
  6. Step 6: Final answer
    x = 4,930.25

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.