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Finding the Third Proportional to 1,212.19 and 1,941.19

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Solution

The third proportional to 1,212.19 and 1,941.19 is: 3,108.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.19 : 1,941.19 = 1,941.19 : x
  2. Step 2: Convert to fraction form
    1,212.19/1,941.19 = 1,941.19/x
  3. Step 3: Cross multiply
    1,212.19x = 1,941.19 × 1,941.19
  4. Step 4: Simplify right side
    1,212.19x = 3,768,208.91
  5. Step 5: Solve for x
    x = 3,768,208.91/1,212.19
  6. Step 6: Final answer
    x = 3,108.60

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.