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Finding the Third Proportional to 2,911.78 and 4,018.78

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Solution

The third proportional to 2,911.78 and 4,018.78 is: 5,546.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.78 : 4,018.78 = 4,018.78 : x
  2. Step 2: Convert to fraction form
    2,911.78/4,018.78 = 4,018.78/x
  3. Step 3: Cross multiply
    2,911.78x = 4,018.78 × 4,018.78
  4. Step 4: Simplify right side
    2,911.78x = 16,150,602.74
  5. Step 5: Solve for x
    x = 16,150,602.74/2,911.78
  6. Step 6: Final answer
    x = 5,546.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.