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Finding the Third Proportional to 23,686 and 39,475

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Solution

The third proportional to 23,686 and 39,475 is: 65,788.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,686 : 39,475 = 39,475 : x
  2. Step 2: Convert to fraction form
    23,686/39,475 = 39,475/x
  3. Step 3: Cross multiply
    23,686x = 39,475 × 39,475
  4. Step 4: Simplify right side
    23,686x = 1,558,275,625
  5. Step 5: Solve for x
    x = 1,558,275,625/23,686
  6. Step 6: Final answer
    x = 65,788.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.