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Finding the Third Proportional to 19,176 and 28,680

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Solution

The third proportional to 19,176 and 28,680 is: 42,894.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,176 : 28,680 = 28,680 : x
  2. Step 2: Convert to fraction form
    19,176/28,680 = 28,680/x
  3. Step 3: Cross multiply
    19,176x = 28,680 × 28,680
  4. Step 4: Simplify right side
    19,176x = 822,542,400
  5. Step 5: Solve for x
    x = 822,542,400/19,176
  6. Step 6: Final answer
    x = 42,894.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.