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Finding the Third Proportional to 3,835.03 and 4,145.53

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Solution

The third proportional to 3,835.03 and 4,145.53 is: 4,481.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.03 : 4,145.53 = 4,145.53 : x
  2. Step 2: Convert to fraction form
    3,835.03/4,145.53 = 4,145.53/x
  3. Step 3: Cross multiply
    3,835.03x = 4,145.53 × 4,145.53
  4. Step 4: Simplify right side
    3,835.03x = 17,185,429.34
  5. Step 5: Solve for x
    x = 17,185,429.34/3,835.03
  6. Step 6: Final answer
    x = 4,481.17

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.