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Finding the Third Proportional to 21,856 and 31,936

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Solution

The third proportional to 21,856 and 31,936 is: 46,664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,856 : 31,936 = 31,936 : x
  2. Step 2: Convert to fraction form
    21,856/31,936 = 31,936/x
  3. Step 3: Cross multiply
    21,856x = 31,936 × 31,936
  4. Step 4: Simplify right side
    21,856x = 1,019,908,096
  5. Step 5: Solve for x
    x = 1,019,908,096/21,856
  6. Step 6: Final answer
    x = 46,664.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.