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Finding the Third Proportional to 28,197 and 37,586

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Solution

The third proportional to 28,197 and 37,586 is: 50,101.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,197 : 37,586 = 37,586 : x
  2. Step 2: Convert to fraction form
    28,197/37,586 = 37,586/x
  3. Step 3: Cross multiply
    28,197x = 37,586 × 37,586
  4. Step 4: Simplify right side
    28,197x = 1,412,707,396
  5. Step 5: Solve for x
    x = 1,412,707,396/28,197
  6. Step 6: Final answer
    x = 50,101.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.