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Finding the Third Proportional to 1,340.79 and 2,051.09

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Solution

The third proportional to 1,340.79 and 2,051.09 is: 3,137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.79 : 2,051.09 = 2,051.09 : x
  2. Step 2: Convert to fraction form
    1,340.79/2,051.09 = 2,051.09/x
  3. Step 3: Cross multiply
    1,340.79x = 2,051.09 × 2,051.09
  4. Step 4: Simplify right side
    1,340.79x = 4,206,953.52
  5. Step 5: Solve for x
    x = 4,206,953.52/1,340.79
  6. Step 6: Final answer
    x = 3,137.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.