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Finding the Third Proportional to 1,603.83 and 3,513.94

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Solution

The third proportional to 1,603.83 and 3,513.94 is: 7,698.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.83 : 3,513.94 = 3,513.94 : x
  2. Step 2: Convert to fraction form
    1,603.83/3,513.94 = 3,513.94/x
  3. Step 3: Cross multiply
    1,603.83x = 3,513.94 × 3,513.94
  4. Step 4: Simplify right side
    1,603.83x = 12,347,756.75
  5. Step 5: Solve for x
    x = 12,347,756.75/1,603.83
  6. Step 6: Final answer
    x = 7,698.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.