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Finding the Third Proportional to 6,813 and 10,220.06

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Solution

The third proportional to 6,813 and 10,220.06 is: 15,330.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813 : 10,220.06 = 10,220.06 : x
  2. Step 2: Convert to fraction form
    6,813/10,220.06 = 10,220.06/x
  3. Step 3: Cross multiply
    6,813x = 10,220.06 × 10,220.06
  4. Step 4: Simplify right side
    6,813x = 104,449,677.50
  5. Step 5: Solve for x
    x = 104,449,677.50/6,813
  6. Step 6: Final answer
    x = 15,330.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.