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Finding the Third Proportional to 3,362.13 and 6,860.95

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Solution

The third proportional to 3,362.13 and 6,860.95 is: 14,000.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.13 : 6,860.95 = 6,860.95 : x
  2. Step 2: Convert to fraction form
    3,362.13/6,860.95 = 6,860.95/x
  3. Step 3: Cross multiply
    3,362.13x = 6,860.95 × 6,860.95
  4. Step 4: Simplify right side
    3,362.13x = 47,072,677.78
  5. Step 5: Solve for x
    x = 47,072,677.78/3,362.13
  6. Step 6: Final answer
    x = 14,000.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.