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Finding the Third Proportional to 19,180 and 30,544

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Solution

The third proportional to 19,180 and 30,544 is: 48,641.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,180 : 30,544 = 30,544 : x
  2. Step 2: Convert to fraction form
    19,180/30,544 = 30,544/x
  3. Step 3: Cross multiply
    19,180x = 30,544 × 30,544
  4. Step 4: Simplify right side
    19,180x = 932,935,936
  5. Step 5: Solve for x
    x = 932,935,936/19,180
  6. Step 6: Final answer
    x = 48,641.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.