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Finding the Third Proportional to 2,388.42 and 3,440.24

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Solution

The third proportional to 2,388.42 and 3,440.24 is: 4,955.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.42 : 3,440.24 = 3,440.24 : x
  2. Step 2: Convert to fraction form
    2,388.42/3,440.24 = 3,440.24/x
  3. Step 3: Cross multiply
    2,388.42x = 3,440.24 × 3,440.24
  4. Step 4: Simplify right side
    2,388.42x = 11,835,239.43
  5. Step 5: Solve for x
    x = 11,835,239.43/2,388.42
  6. Step 6: Final answer
    x = 4,955.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.