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Finding the Third Proportional to 9,388 and 19,496

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Solution

The third proportional to 9,388 and 19,496 is: 40,487.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,388 : 19,496 = 19,496 : x
  2. Step 2: Convert to fraction form
    9,388/19,496 = 19,496/x
  3. Step 3: Cross multiply
    9,388x = 19,496 × 19,496
  4. Step 4: Simplify right side
    9,388x = 380,094,016
  5. Step 5: Solve for x
    x = 380,094,016/9,388
  6. Step 6: Final answer
    x = 40,487.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.