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Finding the Third Proportional to 1,835.58 and 3,871.97

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Solution

The third proportional to 1,835.58 and 3,871.97 is: 8,167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.58 : 3,871.97 = 3,871.97 : x
  2. Step 2: Convert to fraction form
    1,835.58/3,871.97 = 3,871.97/x
  3. Step 3: Cross multiply
    1,835.58x = 3,871.97 × 3,871.97
  4. Step 4: Simplify right side
    1,835.58x = 14,992,142.00
  5. Step 5: Solve for x
    x = 14,992,142.00/1,835.58
  6. Step 6: Final answer
    x = 8,167.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.