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Finding the Third Proportional to 2,245.36 and 3,603.52

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Solution

The third proportional to 2,245.36 and 3,603.52 is: 5,783.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.36 : 3,603.52 = 3,603.52 : x
  2. Step 2: Convert to fraction form
    2,245.36/3,603.52 = 3,603.52/x
  3. Step 3: Cross multiply
    2,245.36x = 3,603.52 × 3,603.52
  4. Step 4: Simplify right side
    2,245.36x = 12,985,324.86
  5. Step 5: Solve for x
    x = 12,985,324.86/2,245.36
  6. Step 6: Final answer
    x = 5,783.18

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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.