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Finding the Third Proportional to 21,858 and 31,939

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Solution

The third proportional to 21,858 and 31,939 is: 46,669.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,858 : 31,939 = 31,939 : x
  2. Step 2: Convert to fraction form
    21,858/31,939 = 31,939/x
  3. Step 3: Cross multiply
    21,858x = 31,939 × 31,939
  4. Step 4: Simplify right side
    21,858x = 1,020,099,721
  5. Step 5: Solve for x
    x = 1,020,099,721/21,858
  6. Step 6: Final answer
    x = 46,669.40

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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.