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Finding the Third Proportional to 13,799.50 and 30,000

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Solution

The third proportional to 13,799.50 and 30,000 is: 65,219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,799.50 : 30,000 = 30,000 : x
  2. Step 2: Convert to fraction form
    13,799.50/30,000 = 30,000/x
  3. Step 3: Cross multiply
    13,799.50x = 30,000 × 30,000
  4. Step 4: Simplify right side
    13,799.50x = 900,000,000
  5. Step 5: Solve for x
    x = 900,000,000/13,799.50
  6. Step 6: Final answer
    x = 65,219.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.