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Finding the Third Proportional to 1,418.34 and 2,201.34

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Solution

The third proportional to 1,418.34 and 2,201.34 is: 3,416.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.34 : 2,201.34 = 2,201.34 : x
  2. Step 2: Convert to fraction form
    1,418.34/2,201.34 = 2,201.34/x
  3. Step 3: Cross multiply
    1,418.34x = 2,201.34 × 2,201.34
  4. Step 4: Simplify right side
    1,418.34x = 4,845,914.31
  5. Step 5: Solve for x
    x = 4,845,914.31/1,418.34
  6. Step 6: Final answer
    x = 3,416.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.