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Finding the Third Proportional to 3,298.22 and 7,146.98

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Solution

The third proportional to 3,298.22 and 7,146.98 is: 15,486.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.22 : 7,146.98 = 7,146.98 : x
  2. Step 2: Convert to fraction form
    3,298.22/7,146.98 = 7,146.98/x
  3. Step 3: Cross multiply
    3,298.22x = 7,146.98 × 7,146.98
  4. Step 4: Simplify right side
    3,298.22x = 51,079,385.66
  5. Step 5: Solve for x
    x = 51,079,385.66/3,298.22
  6. Step 6: Final answer
    x = 15,486.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.