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Finding the Third Proportional to 5,835.38 and 9,178.31

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Solution

The third proportional to 5,835.38 and 9,178.31 is: 14,436.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.38 : 9,178.31 = 9,178.31 : x
  2. Step 2: Convert to fraction form
    5,835.38/9,178.31 = 9,178.31/x
  3. Step 3: Cross multiply
    5,835.38x = 9,178.31 × 9,178.31
  4. Step 4: Simplify right side
    5,835.38x = 84,241,420.35
  5. Step 5: Solve for x
    x = 84,241,420.35/5,835.38
  6. Step 6: Final answer
    x = 14,436.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.