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Finding the Third Proportional to 12,200.63 and 20,143.69

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Solution

The third proportional to 12,200.63 and 20,143.69 is: 33,257.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.63 : 20,143.69 = 20,143.69 : x
  2. Step 2: Convert to fraction form
    12,200.63/20,143.69 = 20,143.69/x
  3. Step 3: Cross multiply
    12,200.63x = 20,143.69 × 20,143.69
  4. Step 4: Simplify right side
    12,200.63x = 405,768,146.10
  5. Step 5: Solve for x
    x = 405,768,146.10/12,200.63
  6. Step 6: Final answer
    x = 33,257.98

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.