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Finding the Third Proportional to 15,667 and 23,579

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Solution

The third proportional to 15,667 and 23,579 is: 35,486.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,667 : 23,579 = 23,579 : x
  2. Step 2: Convert to fraction form
    15,667/23,579 = 23,579/x
  3. Step 3: Cross multiply
    15,667x = 23,579 × 23,579
  4. Step 4: Simplify right side
    15,667x = 555,969,241
  5. Step 5: Solve for x
    x = 555,969,241/15,667
  6. Step 6: Final answer
    x = 35,486.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.