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Finding the Third Proportional to 13,380.19 and 30,344.63

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Solution

The third proportional to 13,380.19 and 30,344.63 is: 68,817.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380.19 : 30,344.63 = 30,344.63 : x
  2. Step 2: Convert to fraction form
    13,380.19/30,344.63 = 30,344.63/x
  3. Step 3: Cross multiply
    13,380.19x = 30,344.63 × 30,344.63
  4. Step 4: Simplify right side
    13,380.19x = 920,796,266.39
  5. Step 5: Solve for x
    x = 920,796,266.39/13,380.19
  6. Step 6: Final answer
    x = 68,817.89

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.