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Finding the Third Proportional to 18,732 and 28,174

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Solution

The third proportional to 18,732 and 28,174 is: 42,375.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,732 : 28,174 = 28,174 : x
  2. Step 2: Convert to fraction form
    18,732/28,174 = 28,174/x
  3. Step 3: Cross multiply
    18,732x = 28,174 × 28,174
  4. Step 4: Simplify right side
    18,732x = 793,774,276
  5. Step 5: Solve for x
    x = 793,774,276/18,732
  6. Step 6: Final answer
    x = 42,375.31

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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.