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Finding the Third Proportional to 14,093.21 and 20,678.41

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Solution

The third proportional to 14,093.21 and 20,678.41 is: 30,340.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,093.21 : 20,678.41 = 20,678.41 : x
  2. Step 2: Convert to fraction form
    14,093.21/20,678.41 = 20,678.41/x
  3. Step 3: Cross multiply
    14,093.21x = 20,678.41 × 20,678.41
  4. Step 4: Simplify right side
    14,093.21x = 427,596,808.14
  5. Step 5: Solve for x
    x = 427,596,808.14/14,093.21
  6. Step 6: Final answer
    x = 30,340.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.