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Finding the Third Proportional to 2,014.45 and 4,154.20

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Solution

The third proportional to 2,014.45 and 4,154.20 is: 8,566.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.45 : 4,154.20 = 4,154.20 : x
  2. Step 2: Convert to fraction form
    2,014.45/4,154.20 = 4,154.20/x
  3. Step 3: Cross multiply
    2,014.45x = 4,154.20 × 4,154.20
  4. Step 4: Simplify right side
    2,014.45x = 17,257,403.60
  5. Step 5: Solve for x
    x = 17,257,403.60/2,014.45
  6. Step 6: Final answer
    x = 8,566.79

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.