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Finding the Third Proportional to 6,841.55 and 14,738.20

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Solution

The third proportional to 6,841.55 and 14,738.20 is: 31,749.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.55 : 14,738.20 = 14,738.20 : x
  2. Step 2: Convert to fraction form
    6,841.55/14,738.20 = 14,738.20/x
  3. Step 3: Cross multiply
    6,841.55x = 14,738.20 × 14,738.20
  4. Step 4: Simplify right side
    6,841.55x = 217,214,631.35
  5. Step 5: Solve for x
    x = 217,214,631.35/6,841.55
  6. Step 6: Final answer
    x = 31,749.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.