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Finding the Third Proportional to 14,067.42 and 30,078.84

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Solution

The third proportional to 14,067.42 and 30,078.84 is: 64,314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,067.42 : 30,078.84 = 30,078.84 : x
  2. Step 2: Convert to fraction form
    14,067.42/30,078.84 = 30,078.84/x
  3. Step 3: Cross multiply
    14,067.42x = 30,078.84 × 30,078.84
  4. Step 4: Simplify right side
    14,067.42x = 904,736,841.34
  5. Step 5: Solve for x
    x = 904,736,841.34/14,067.42
  6. Step 6: Final answer
    x = 64,314.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.