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Finding the Third Proportional to 9,309 and 20,257

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Solution

The third proportional to 9,309 and 20,257 is: 44,080.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309 : 20,257 = 20,257 : x
  2. Step 2: Convert to fraction form
    9,309/20,257 = 20,257/x
  3. Step 3: Cross multiply
    9,309x = 20,257 × 20,257
  4. Step 4: Simplify right side
    9,309x = 410,346,049
  5. Step 5: Solve for x
    x = 410,346,049/9,309
  6. Step 6: Final answer
    x = 44,080.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.