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Finding the Third Proportional to 1,834.31 and 4,347.84

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Solution

The third proportional to 1,834.31 and 4,347.84 is: 10,305.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.31 : 4,347.84 = 4,347.84 : x
  2. Step 2: Convert to fraction form
    1,834.31/4,347.84 = 4,347.84/x
  3. Step 3: Cross multiply
    1,834.31x = 4,347.84 × 4,347.84
  4. Step 4: Simplify right side
    1,834.31x = 18,903,745.27
  5. Step 5: Solve for x
    x = 18,903,745.27/1,834.31
  6. Step 6: Final answer
    x = 10,305.63

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.