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Finding the Third Proportional to 2,397.94 and 3,504.94

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Solution

The third proportional to 2,397.94 and 3,504.94 is: 5,122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.94 : 3,504.94 = 3,504.94 : x
  2. Step 2: Convert to fraction form
    2,397.94/3,504.94 = 3,504.94/x
  3. Step 3: Cross multiply
    2,397.94x = 3,504.94 × 3,504.94
  4. Step 4: Simplify right side
    2,397.94x = 12,284,586.88
  5. Step 5: Solve for x
    x = 12,284,586.88/2,397.94
  6. Step 6: Final answer
    x = 5,122.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.