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Finding the Third Proportional to 19,493 and 30,378

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Solution

The third proportional to 19,493 and 30,378 is: 47,341.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,493 : 30,378 = 30,378 : x
  2. Step 2: Convert to fraction form
    19,493/30,378 = 30,378/x
  3. Step 3: Cross multiply
    19,493x = 30,378 × 30,378
  4. Step 4: Simplify right side
    19,493x = 922,822,884
  5. Step 5: Solve for x
    x = 922,822,884/19,493
  6. Step 6: Final answer
    x = 47,341.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.