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Finding the Third Proportional to 6,014.25 and 13,118.63

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Solution

The third proportional to 6,014.25 and 13,118.63 is: 28,615.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,014.25 : 13,118.63 = 13,118.63 : x
  2. Step 2: Convert to fraction form
    6,014.25/13,118.63 = 13,118.63/x
  3. Step 3: Cross multiply
    6,014.25x = 13,118.63 × 13,118.63
  4. Step 4: Simplify right side
    6,014.25x = 172,098,321.89
  5. Step 5: Solve for x
    x = 172,098,321.89/6,014.25
  6. Step 6: Final answer
    x = 28,615.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.