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Finding the Third Proportional to 10,256 and 24,197

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Solution

The third proportional to 10,256 and 24,197 is: 57,088.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256 : 24,197 = 24,197 : x
  2. Step 2: Convert to fraction form
    10,256/24,197 = 24,197/x
  3. Step 3: Cross multiply
    10,256x = 24,197 × 24,197
  4. Step 4: Simplify right side
    10,256x = 585,494,809
  5. Step 5: Solve for x
    x = 585,494,809/10,256
  6. Step 6: Final answer
    x = 57,088.03

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.