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Finding the Third Proportional to 5,907.94 and 12,119.63

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Solution

The third proportional to 5,907.94 and 12,119.63 is: 24,862.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,907.94 : 12,119.63 = 12,119.63 : x
  2. Step 2: Convert to fraction form
    5,907.94/12,119.63 = 12,119.63/x
  3. Step 3: Cross multiply
    5,907.94x = 12,119.63 × 12,119.63
  4. Step 4: Simplify right side
    5,907.94x = 146,885,310.14
  5. Step 5: Solve for x
    x = 146,885,310.14/5,907.94
  6. Step 6: Final answer
    x = 24,862.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.