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Finding the Third Proportional to 13,144 and 31,720

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Solution

The third proportional to 13,144 and 31,720 is: 76,548.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,144 : 31,720 = 31,720 : x
  2. Step 2: Convert to fraction form
    13,144/31,720 = 31,720/x
  3. Step 3: Cross multiply
    13,144x = 31,720 × 31,720
  4. Step 4: Simplify right side
    13,144x = 1,006,158,400
  5. Step 5: Solve for x
    x = 1,006,158,400/13,144
  6. Step 6: Final answer
    x = 76,548.87

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.