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Finding the Third Proportional to 3,310.45 and 6,890.48

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Solution

The third proportional to 3,310.45 and 6,890.48 is: 14,342.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.45 : 6,890.48 = 6,890.48 : x
  2. Step 2: Convert to fraction form
    3,310.45/6,890.48 = 6,890.48/x
  3. Step 3: Cross multiply
    3,310.45x = 6,890.48 × 6,890.48
  4. Step 4: Simplify right side
    3,310.45x = 47,478,774.92
  5. Step 5: Solve for x
    x = 47,478,774.92/3,310.45
  6. Step 6: Final answer
    x = 14,342.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.