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Finding the Third Proportional to 13,608 and 29,471.34

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Solution

The third proportional to 13,608 and 29,471.34 is: 63,827.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,608 : 29,471.34 = 29,471.34 : x
  2. Step 2: Convert to fraction form
    13,608/29,471.34 = 29,471.34/x
  3. Step 3: Cross multiply
    13,608x = 29,471.34 × 29,471.34
  4. Step 4: Simplify right side
    13,608x = 868,560,102.43
  5. Step 5: Solve for x
    x = 868,560,102.43/13,608
  6. Step 6: Final answer
    x = 63,827.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.