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Finding the Third Proportional to 1,414.55 and 3,051.49

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Solution

The third proportional to 1,414.55 and 3,051.49 is: 6,582.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.55 : 3,051.49 = 3,051.49 : x
  2. Step 2: Convert to fraction form
    1,414.55/3,051.49 = 3,051.49/x
  3. Step 3: Cross multiply
    1,414.55x = 3,051.49 × 3,051.49
  4. Step 4: Simplify right side
    1,414.55x = 9,311,604.57
  5. Step 5: Solve for x
    x = 9,311,604.57/1,414.55
  6. Step 6: Final answer
    x = 6,582.75

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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.