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Finding the Third Proportional to 5,940 and 13,811.94

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Solution

The third proportional to 5,940 and 13,811.94 is: 32,116.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940 : 13,811.94 = 13,811.94 : x
  2. Step 2: Convert to fraction form
    5,940/13,811.94 = 13,811.94/x
  3. Step 3: Cross multiply
    5,940x = 13,811.94 × 13,811.94
  4. Step 4: Simplify right side
    5,940x = 190,769,617.50
  5. Step 5: Solve for x
    x = 190,769,617.50/5,940
  6. Step 6: Final answer
    x = 32,116.10

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.