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Finding the Third Proportional to 3,036 and 7,014

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Solution

The third proportional to 3,036 and 7,014 is: 16,204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,036 : 7,014 = 7,014 : x
  2. Step 2: Convert to fraction form
    3,036/7,014 = 7,014/x
  3. Step 3: Cross multiply
    3,036x = 7,014 × 7,014
  4. Step 4: Simplify right side
    3,036x = 49,196,196
  5. Step 5: Solve for x
    x = 49,196,196/3,036
  6. Step 6: Final answer
    x = 16,204.28

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.