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Finding the Third Proportional to 6,173.06 and 13,680.94

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Solution

The third proportional to 6,173.06 and 13,680.94 is: 30,320.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.06 : 13,680.94 = 13,680.94 : x
  2. Step 2: Convert to fraction form
    6,173.06/13,680.94 = 13,680.94/x
  3. Step 3: Cross multiply
    6,173.06x = 13,680.94 × 13,680.94
  4. Step 4: Simplify right side
    6,173.06x = 187,168,050.88
  5. Step 5: Solve for x
    x = 187,168,050.88/6,173.06
  6. Step 6: Final answer
    x = 30,320.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.