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Finding the Third Proportional to 6,222.09 and 13,172.91

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Solution

The third proportional to 6,222.09 and 13,172.91 is: 27,888.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,222.09 : 13,172.91 = 13,172.91 : x
  2. Step 2: Convert to fraction form
    6,222.09/13,172.91 = 13,172.91/x
  3. Step 3: Cross multiply
    6,222.09x = 13,172.91 × 13,172.91
  4. Step 4: Simplify right side
    6,222.09x = 173,525,459.07
  5. Step 5: Solve for x
    x = 173,525,459.07/6,222.09
  6. Step 6: Final answer
    x = 27,888.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.