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Finding the Third Proportional to 2,269.27 and 3,504.52

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Solution

The third proportional to 2,269.27 and 3,504.52 is: 5,412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.27 : 3,504.52 = 3,504.52 : x
  2. Step 2: Convert to fraction form
    2,269.27/3,504.52 = 3,504.52/x
  3. Step 3: Cross multiply
    2,269.27x = 3,504.52 × 3,504.52
  4. Step 4: Simplify right side
    2,269.27x = 12,281,629.77
  5. Step 5: Solve for x
    x = 12,281,629.77/2,269.27
  6. Step 6: Final answer
    x = 5,412.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.