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Finding the Third Proportional to 6,697.69 and 14,422.22

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Solution

The third proportional to 6,697.69 and 14,422.22 is: 31,055.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.69 : 14,422.22 = 14,422.22 : x
  2. Step 2: Convert to fraction form
    6,697.69/14,422.22 = 14,422.22/x
  3. Step 3: Cross multiply
    6,697.69x = 14,422.22 × 14,422.22
  4. Step 4: Simplify right side
    6,697.69x = 208,000,393.67
  5. Step 5: Solve for x
    x = 208,000,393.67/6,697.69
  6. Step 6: Final answer
    x = 31,055.55

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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.