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Finding the Third Proportional to 2,603.39 and 5,303.60

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Solution

The third proportional to 2,603.39 and 5,303.60 is: 10,804.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.39 : 5,303.60 = 5,303.60 : x
  2. Step 2: Convert to fraction form
    2,603.39/5,303.60 = 5,303.60/x
  3. Step 3: Cross multiply
    2,603.39x = 5,303.60 × 5,303.60
  4. Step 4: Simplify right side
    2,603.39x = 28,128,189.53
  5. Step 5: Solve for x
    x = 28,128,189.53/2,603.39
  6. Step 6: Final answer
    x = 10,804.44

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.