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Finding the Third Proportional to 2,114.44 and 4,289.63

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Solution

The third proportional to 2,114.44 and 4,289.63 is: 8,702.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.44 : 4,289.63 = 4,289.63 : x
  2. Step 2: Convert to fraction form
    2,114.44/4,289.63 = 4,289.63/x
  3. Step 3: Cross multiply
    2,114.44x = 4,289.63 × 4,289.63
  4. Step 4: Simplify right side
    2,114.44x = 18,400,882.64
  5. Step 5: Solve for x
    x = 18,400,882.64/2,114.44
  6. Step 6: Final answer
    x = 8,702.50

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.