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Finding the Third Proportional to 9,257 and 20,299

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Solution

The third proportional to 9,257 and 20,299 is: 44,512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257 : 20,299 = 20,299 : x
  2. Step 2: Convert to fraction form
    9,257/20,299 = 20,299/x
  3. Step 3: Cross multiply
    9,257x = 20,299 × 20,299
  4. Step 4: Simplify right side
    9,257x = 412,049,401
  5. Step 5: Solve for x
    x = 412,049,401/9,257
  6. Step 6: Final answer
    x = 44,512.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.