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Finding the Third Proportional to 19,232 and 36,496

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Solution

The third proportional to 19,232 and 36,496 is: 69,257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,232 : 36,496 = 36,496 : x
  2. Step 2: Convert to fraction form
    19,232/36,496 = 36,496/x
  3. Step 3: Cross multiply
    19,232x = 36,496 × 36,496
  4. Step 4: Simplify right side
    19,232x = 1,331,958,016
  5. Step 5: Solve for x
    x = 1,331,958,016/19,232
  6. Step 6: Final answer
    x = 69,257.38

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.