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Finding the Third Proportional to 14,002.88 and 30,450.94

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Solution

The third proportional to 14,002.88 and 30,450.94 is: 66,219.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.88 : 30,450.94 = 30,450.94 : x
  2. Step 2: Convert to fraction form
    14,002.88/30,450.94 = 30,450.94/x
  3. Step 3: Cross multiply
    14,002.88x = 30,450.94 × 30,450.94
  4. Step 4: Simplify right side
    14,002.88x = 927,259,594.63
  5. Step 5: Solve for x
    x = 927,259,594.63/14,002.88
  6. Step 6: Final answer
    x = 66,219.23

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Why These Related Problems?

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