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Finding the Third Proportional to 1,603.41 and 3,446.16

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Solution

The third proportional to 1,603.41 and 3,446.16 is: 7,406.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.41 : 3,446.16 = 3,446.16 : x
  2. Step 2: Convert to fraction form
    1,603.41/3,446.16 = 3,446.16/x
  3. Step 3: Cross multiply
    1,603.41x = 3,446.16 × 3,446.16
  4. Step 4: Simplify right side
    1,603.41x = 11,875,992.90
  5. Step 5: Solve for x
    x = 11,875,992.90/1,603.41
  6. Step 6: Final answer
    x = 7,406.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.