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Finding the Third Proportional to 2,076.94 and 4,442.06

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Solution

The third proportional to 2,076.94 and 4,442.06 is: 9,500.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.94 : 4,442.06 = 4,442.06 : x
  2. Step 2: Convert to fraction form
    2,076.94/4,442.06 = 4,442.06/x
  3. Step 3: Cross multiply
    2,076.94x = 4,442.06 × 4,442.06
  4. Step 4: Simplify right side
    2,076.94x = 19,731,919.25
  5. Step 5: Solve for x
    x = 19,731,919.25/2,076.94
  6. Step 6: Final answer
    x = 9,500.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.