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Finding the Third Proportional to 28,190 and 37,077

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Solution

The third proportional to 28,190 and 37,077 is: 48,765.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,190 : 37,077 = 37,077 : x
  2. Step 2: Convert to fraction form
    28,190/37,077 = 37,077/x
  3. Step 3: Cross multiply
    28,190x = 37,077 × 37,077
  4. Step 4: Simplify right side
    28,190x = 1,374,703,929
  5. Step 5: Solve for x
    x = 1,374,703,929/28,190
  6. Step 6: Final answer
    x = 48,765.66

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.