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Finding the Third Proportional to 28,406 and 39,831

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Solution

The third proportional to 28,406 and 39,831 is: 55,851.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,406 : 39,831 = 39,831 : x
  2. Step 2: Convert to fraction form
    28,406/39,831 = 39,831/x
  3. Step 3: Cross multiply
    28,406x = 39,831 × 39,831
  4. Step 4: Simplify right side
    28,406x = 1,586,508,561
  5. Step 5: Solve for x
    x = 1,586,508,561/28,406
  6. Step 6: Final answer
    x = 55,851.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.