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Finding the Third Proportional to 18,592 and 28,192

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Solution

The third proportional to 18,592 and 28,192 is: 42,748.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,592 : 28,192 = 28,192 : x
  2. Step 2: Convert to fraction form
    18,592/28,192 = 28,192/x
  3. Step 3: Cross multiply
    18,592x = 28,192 × 28,192
  4. Step 4: Simplify right side
    18,592x = 794,788,864
  5. Step 5: Solve for x
    x = 794,788,864/18,592
  6. Step 6: Final answer
    x = 42,748.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.