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Finding the Third Proportional to 15,647 and 23,606

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Solution

The third proportional to 15,647 and 23,606 is: 35,613.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,647 : 23,606 = 23,606 : x
  2. Step 2: Convert to fraction form
    15,647/23,606 = 23,606/x
  3. Step 3: Cross multiply
    15,647x = 23,606 × 23,606
  4. Step 4: Simplify right side
    15,647x = 557,243,236
  5. Step 5: Solve for x
    x = 557,243,236/15,647
  6. Step 6: Final answer
    x = 35,613.42

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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.