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Finding the Third Proportional to 19,272 and 28,176

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Solution

The third proportional to 19,272 and 28,176 is: 41,193.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,272 : 28,176 = 28,176 : x
  2. Step 2: Convert to fraction form
    19,272/28,176 = 28,176/x
  3. Step 3: Cross multiply
    19,272x = 28,176 × 28,176
  4. Step 4: Simplify right side
    19,272x = 793,886,976
  5. Step 5: Solve for x
    x = 793,886,976/19,272
  6. Step 6: Final answer
    x = 41,193.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.