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Finding the Third Proportional to 2,337.94 and 3,473.44

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Solution

The third proportional to 2,337.94 and 3,473.44 is: 5,160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.94 : 3,473.44 = 3,473.44 : x
  2. Step 2: Convert to fraction form
    2,337.94/3,473.44 = 3,473.44/x
  3. Step 3: Cross multiply
    2,337.94x = 3,473.44 × 3,473.44
  4. Step 4: Simplify right side
    2,337.94x = 12,064,768.07
  5. Step 5: Solve for x
    x = 12,064,768.07/2,337.94
  6. Step 6: Final answer
    x = 5,160.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.