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Finding the Third Proportional to 15,647 and 24,018

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Solution

The third proportional to 15,647 and 24,018 is: 36,867.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,647 : 24,018 = 24,018 : x
  2. Step 2: Convert to fraction form
    15,647/24,018 = 24,018/x
  3. Step 3: Cross multiply
    15,647x = 24,018 × 24,018
  4. Step 4: Simplify right side
    15,647x = 576,864,324
  5. Step 5: Solve for x
    x = 576,864,324/15,647
  6. Step 6: Final answer
    x = 36,867.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.