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Finding the Third Proportional to 8,421.94 and 14,035.41

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Solution

The third proportional to 8,421.94 and 14,035.41 is: 23,390.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421.94 : 14,035.41 = 14,035.41 : x
  2. Step 2: Convert to fraction form
    8,421.94/14,035.41 = 14,035.41/x
  3. Step 3: Cross multiply
    8,421.94x = 14,035.41 × 14,035.41
  4. Step 4: Simplify right side
    8,421.94x = 196,992,628.60
  5. Step 5: Solve for x
    x = 196,992,628.60/8,421.94
  6. Step 6: Final answer
    x = 23,390.42

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.