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Finding the Third Proportional to 3,086 and 6,603.50

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Solution

The third proportional to 3,086 and 6,603.50 is: 14,130.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086 : 6,603.50 = 6,603.50 : x
  2. Step 2: Convert to fraction form
    3,086/6,603.50 = 6,603.50/x
  3. Step 3: Cross multiply
    3,086x = 6,603.50 × 6,603.50
  4. Step 4: Simplify right side
    3,086x = 43,606,212.25
  5. Step 5: Solve for x
    x = 43,606,212.25/3,086
  6. Step 6: Final answer
    x = 14,130.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.