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Finding the Third Proportional to 28,104 and 37,592

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Solution

The third proportional to 28,104 and 37,592 is: 50,283.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,104 : 37,592 = 37,592 : x
  2. Step 2: Convert to fraction form
    28,104/37,592 = 37,592/x
  3. Step 3: Cross multiply
    28,104x = 37,592 × 37,592
  4. Step 4: Simplify right side
    28,104x = 1,413,158,464
  5. Step 5: Solve for x
    x = 1,413,158,464/28,104
  6. Step 6: Final answer
    x = 50,283.18

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.