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Finding the Third Proportional to 14,028.19 and 20,994.19

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Solution

The third proportional to 14,028.19 and 20,994.19 is: 31,419.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,028.19 : 20,994.19 = 20,994.19 : x
  2. Step 2: Convert to fraction form
    14,028.19/20,994.19 = 20,994.19/x
  3. Step 3: Cross multiply
    14,028.19x = 20,994.19 × 20,994.19
  4. Step 4: Simplify right side
    14,028.19x = 440,755,908.79
  5. Step 5: Solve for x
    x = 440,755,908.79/14,028.19
  6. Step 6: Final answer
    x = 31,419.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.