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Finding the Third Proportional to 14,416.73 and 30,990.09

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Solution

The third proportional to 14,416.73 and 30,990.09 is: 66,616.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.73 : 30,990.09 = 30,990.09 : x
  2. Step 2: Convert to fraction form
    14,416.73/30,990.09 = 30,990.09/x
  3. Step 3: Cross multiply
    14,416.73x = 30,990.09 × 30,990.09
  4. Step 4: Simplify right side
    14,416.73x = 960,385,910.63
  5. Step 5: Solve for x
    x = 960,385,910.63/14,416.73
  6. Step 6: Final answer
    x = 66,616.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.