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Finding the Third Proportional to 28,085 and 38,481.50

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Solution

The third proportional to 28,085 and 38,481.50 is: 52,726.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,085 : 38,481.50 = 38,481.50 : x
  2. Step 2: Convert to fraction form
    28,085/38,481.50 = 38,481.50/x
  3. Step 3: Cross multiply
    28,085x = 38,481.50 × 38,481.50
  4. Step 4: Simplify right side
    28,085x = 1,480,825,842.25
  5. Step 5: Solve for x
    x = 1,480,825,842.25/28,085
  6. Step 6: Final answer
    x = 52,726.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.