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Finding the Third Proportional to 1,211.91 and 2,504.81

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Solution

The third proportional to 1,211.91 and 2,504.81 is: 5,177.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.91 : 2,504.81 = 2,504.81 : x
  2. Step 2: Convert to fraction form
    1,211.91/2,504.81 = 2,504.81/x
  3. Step 3: Cross multiply
    1,211.91x = 2,504.81 × 2,504.81
  4. Step 4: Simplify right side
    1,211.91x = 6,274,085.66
  5. Step 5: Solve for x
    x = 6,274,085.66/1,211.91
  6. Step 6: Final answer
    x = 5,177.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.