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Finding the Third Proportional to 2,243.95 and 3,360.23

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Solution

The third proportional to 2,243.95 and 3,360.23 is: 5,031.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.95 : 3,360.23 = 3,360.23 : x
  2. Step 2: Convert to fraction form
    2,243.95/3,360.23 = 3,360.23/x
  3. Step 3: Cross multiply
    2,243.95x = 3,360.23 × 3,360.23
  4. Step 4: Simplify right side
    2,243.95x = 11,291,175.05
  5. Step 5: Solve for x
    x = 11,291,175.05/2,243.95
  6. Step 6: Final answer
    x = 5,031.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.