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Finding the Third Proportional to 5,796 and 14,145.75

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Solution

The third proportional to 5,796 and 14,145.75 is: 34,524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796 : 14,145.75 = 14,145.75 : x
  2. Step 2: Convert to fraction form
    5,796/14,145.75 = 14,145.75/x
  3. Step 3: Cross multiply
    5,796x = 14,145.75 × 14,145.75
  4. Step 4: Simplify right side
    5,796x = 200,102,243.06
  5. Step 5: Solve for x
    x = 200,102,243.06/5,796
  6. Step 6: Final answer
    x = 34,524.20

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.