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Finding the Third Proportional to 3,014 and 5,144

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Solution

The third proportional to 3,014 and 5,144 is: 8,779.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014 : 5,144 = 5,144 : x
  2. Step 2: Convert to fraction form
    3,014/5,144 = 5,144/x
  3. Step 3: Cross multiply
    3,014x = 5,144 × 5,144
  4. Step 4: Simplify right side
    3,014x = 26,460,736
  5. Step 5: Solve for x
    x = 26,460,736/3,014
  6. Step 6: Final answer
    x = 8,779.28

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.