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Finding the Third Proportional to 1,583.30 and 3,360.23

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Solution

The third proportional to 1,583.30 and 3,360.23 is: 7,131.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.30 : 3,360.23 = 3,360.23 : x
  2. Step 2: Convert to fraction form
    1,583.30/3,360.23 = 3,360.23/x
  3. Step 3: Cross multiply
    1,583.30x = 3,360.23 × 3,360.23
  4. Step 4: Simplify right side
    1,583.30x = 11,291,175.05
  5. Step 5: Solve for x
    x = 11,291,175.05/1,583.30
  6. Step 6: Final answer
    x = 7,131.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.