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Finding the Third Proportional to 1,296.42 and 1,984.92

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Solution

The third proportional to 1,296.42 and 1,984.92 is: 3,039.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.42 : 1,984.92 = 1,984.92 : x
  2. Step 2: Convert to fraction form
    1,296.42/1,984.92 = 1,984.92/x
  3. Step 3: Cross multiply
    1,296.42x = 1,984.92 × 1,984.92
  4. Step 4: Simplify right side
    1,296.42x = 3,939,914.85
  5. Step 5: Solve for x
    x = 3,939,914.85/1,296.42
  6. Step 6: Final answer
    x = 3,039.07

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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.