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Finding the Third Proportional to 3,140.44 and 6,603.94

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Solution

The third proportional to 3,140.44 and 6,603.94 is: 13,887.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.44 : 6,603.94 = 6,603.94 : x
  2. Step 2: Convert to fraction form
    3,140.44/6,603.94 = 6,603.94/x
  3. Step 3: Cross multiply
    3,140.44x = 6,603.94 × 6,603.94
  4. Step 4: Simplify right side
    3,140.44x = 43,611,990.50
  5. Step 5: Solve for x
    x = 43,611,990.50/3,140.44
  6. Step 6: Final answer
    x = 13,887.23

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Why These Related Problems?

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