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Finding the Third Proportional to 2,367.63 and 3,505.64

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Solution

The third proportional to 2,367.63 and 3,505.64 is: 5,190.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.63 : 3,505.64 = 3,505.64 : x
  2. Step 2: Convert to fraction form
    2,367.63/3,505.64 = 3,505.64/x
  3. Step 3: Cross multiply
    2,367.63x = 3,505.64 × 3,505.64
  4. Step 4: Simplify right side
    2,367.63x = 12,289,516.19
  5. Step 5: Solve for x
    x = 12,289,516.19/2,367.63
  6. Step 6: Final answer
    x = 5,190.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.