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Finding the Third Proportional to 28,177 and 37,057.50

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Solution

The third proportional to 28,177 and 37,057.50 is: 48,736.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,177 : 37,057.50 = 37,057.50 : x
  2. Step 2: Convert to fraction form
    28,177/37,057.50 = 37,057.50/x
  3. Step 3: Cross multiply
    28,177x = 37,057.50 × 37,057.50
  4. Step 4: Simplify right side
    28,177x = 1,373,258,306.25
  5. Step 5: Solve for x
    x = 1,373,258,306.25/28,177
  6. Step 6: Final answer
    x = 48,736.85

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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.