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Finding the Third Proportional to 28,412 and 39,741

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Solution

The third proportional to 28,412 and 39,741 is: 55,587.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,412 : 39,741 = 39,741 : x
  2. Step 2: Convert to fraction form
    28,412/39,741 = 39,741/x
  3. Step 3: Cross multiply
    28,412x = 39,741 × 39,741
  4. Step 4: Simplify right side
    28,412x = 1,579,347,081
  5. Step 5: Solve for x
    x = 1,579,347,081/28,412
  6. Step 6: Final answer
    x = 55,587.33

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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.