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Finding the Third Proportional to 1,603.55 and 3,725.37

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Solution

The third proportional to 1,603.55 and 3,725.37 is: 8,654.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.55 : 3,725.37 = 3,725.37 : x
  2. Step 2: Convert to fraction form
    1,603.55/3,725.37 = 3,725.37/x
  3. Step 3: Cross multiply
    1,603.55x = 3,725.37 × 3,725.37
  4. Step 4: Simplify right side
    1,603.55x = 13,878,360.68
  5. Step 5: Solve for x
    x = 13,878,360.68/1,603.55
  6. Step 6: Final answer
    x = 8,654.79

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.