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Finding the Third Proportional to 2,914.41 and 6,289.41

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Solution

The third proportional to 2,914.41 and 6,289.41 is: 13,572.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.41 : 6,289.41 = 6,289.41 : x
  2. Step 2: Convert to fraction form
    2,914.41/6,289.41 = 6,289.41/x
  3. Step 3: Cross multiply
    2,914.41x = 6,289.41 × 6,289.41
  4. Step 4: Simplify right side
    2,914.41x = 39,556,630.98
  5. Step 5: Solve for x
    x = 39,556,630.98/2,914.41
  6. Step 6: Final answer
    x = 13,572.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.