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Finding the Third Proportional to 1,504.41 and 3,151.83

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Solution

The third proportional to 1,504.41 and 3,151.83 is: 6,603.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.41 : 3,151.83 = 3,151.83 : x
  2. Step 2: Convert to fraction form
    1,504.41/3,151.83 = 3,151.83/x
  3. Step 3: Cross multiply
    1,504.41x = 3,151.83 × 3,151.83
  4. Step 4: Simplify right side
    1,504.41x = 9,934,020.53
  5. Step 5: Solve for x
    x = 9,934,020.53/1,504.41
  6. Step 6: Final answer
    x = 6,603.28

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.