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Finding the Third Proportional to 9,209 and 19,489

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Solution

The third proportional to 9,209 and 19,489 is: 41,244.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209 : 19,489 = 19,489 : x
  2. Step 2: Convert to fraction form
    9,209/19,489 = 19,489/x
  3. Step 3: Cross multiply
    9,209x = 19,489 × 19,489
  4. Step 4: Simplify right side
    9,209x = 379,821,121
  5. Step 5: Solve for x
    x = 379,821,121/9,209
  6. Step 6: Final answer
    x = 41,244.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.