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Finding the Third Proportional to 3,112.31 and 4,607.44

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Solution

The third proportional to 3,112.31 and 4,607.44 is: 6,820.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.31 : 4,607.44 = 4,607.44 : x
  2. Step 2: Convert to fraction form
    3,112.31/4,607.44 = 4,607.44/x
  3. Step 3: Cross multiply
    3,112.31x = 4,607.44 × 4,607.44
  4. Step 4: Simplify right side
    3,112.31x = 21,228,480.32
  5. Step 5: Solve for x
    x = 21,228,480.32/3,112.31
  6. Step 6: Final answer
    x = 6,820.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.