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Finding the Third Proportional to 9,419 and 20,323

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Solution

The third proportional to 9,419 and 20,323 is: 43,850.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419 : 20,323 = 20,323 : x
  2. Step 2: Convert to fraction form
    9,419/20,323 = 20,323/x
  3. Step 3: Cross multiply
    9,419x = 20,323 × 20,323
  4. Step 4: Simplify right side
    9,419x = 413,024,329
  5. Step 5: Solve for x
    x = 413,024,329/9,419
  6. Step 6: Final answer
    x = 43,850.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.