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Finding the Third Proportional to 1,369.56 and 2,051.94

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Solution

The third proportional to 1,369.56 and 2,051.94 is: 3,074.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.56 : 2,051.94 = 2,051.94 : x
  2. Step 2: Convert to fraction form
    1,369.56/2,051.94 = 2,051.94/x
  3. Step 3: Cross multiply
    1,369.56x = 2,051.94 × 2,051.94
  4. Step 4: Simplify right side
    1,369.56x = 4,210,447.50
  5. Step 5: Solve for x
    x = 4,210,447.50/1,369.56
  6. Step 6: Final answer
    x = 3,074.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.