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Finding the Third Proportional to 5,871.94 and 9,093.94

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Solution

The third proportional to 5,871.94 and 9,093.94 is: 14,083.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.94 : 9,093.94 = 9,093.94 : x
  2. Step 2: Convert to fraction form
    5,871.94/9,093.94 = 9,093.94/x
  3. Step 3: Cross multiply
    5,871.94x = 9,093.94 × 9,093.94
  4. Step 4: Simplify right side
    5,871.94x = 82,699,699.25
  5. Step 5: Solve for x
    x = 82,699,699.25/5,871.94
  6. Step 6: Final answer
    x = 14,083.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.