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Finding the Third Proportional to 6,047.16 and 12,914.44

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Solution

The third proportional to 6,047.16 and 12,914.44 is: 27,580.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.16 : 12,914.44 = 12,914.44 : x
  2. Step 2: Convert to fraction form
    6,047.16/12,914.44 = 12,914.44/x
  3. Step 3: Cross multiply
    6,047.16x = 12,914.44 × 12,914.44
  4. Step 4: Simplify right side
    6,047.16x = 166,782,695.94
  5. Step 5: Solve for x
    x = 166,782,695.94/6,047.16
  6. Step 6: Final answer
    x = 27,580.35

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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.