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Finding the Third Proportional to 5,810 and 14,165

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Solution

The third proportional to 5,810 and 14,165 is: 34,534.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810 : 14,165 = 14,165 : x
  2. Step 2: Convert to fraction form
    5,810/14,165 = 14,165/x
  3. Step 3: Cross multiply
    5,810x = 14,165 × 14,165
  4. Step 4: Simplify right side
    5,810x = 200,647,225
  5. Step 5: Solve for x
    x = 200,647,225/5,810
  6. Step 6: Final answer
    x = 34,534.81

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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.