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Finding the Third Proportional to 7,431.75 and 12,200.63

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Solution

The third proportional to 7,431.75 and 12,200.63 is: 20,029.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.75 : 12,200.63 = 12,200.63 : x
  2. Step 2: Convert to fraction form
    7,431.75/12,200.63 = 12,200.63/x
  3. Step 3: Cross multiply
    7,431.75x = 12,200.63 × 12,200.63
  4. Step 4: Simplify right side
    7,431.75x = 148,855,250.39
  5. Step 5: Solve for x
    x = 148,855,250.39/7,431.75
  6. Step 6: Final answer
    x = 20,029.64

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.