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Finding the Third Proportional to 13,401 and 31,159

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Solution

The third proportional to 13,401 and 31,159 is: 72,448.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,401 : 31,159 = 31,159 : x
  2. Step 2: Convert to fraction form
    13,401/31,159 = 31,159/x
  3. Step 3: Cross multiply
    13,401x = 31,159 × 31,159
  4. Step 4: Simplify right side
    13,401x = 970,883,281
  5. Step 5: Solve for x
    x = 970,883,281/13,401
  6. Step 6: Final answer
    x = 72,448.57

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.