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Finding the Third Proportional to 28,187 and 57,148

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Solution

The third proportional to 28,187 and 57,148 is: 115,865.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,187 : 57,148 = 57,148 : x
  2. Step 2: Convert to fraction form
    28,187/57,148 = 57,148/x
  3. Step 3: Cross multiply
    28,187x = 57,148 × 57,148
  4. Step 4: Simplify right side
    28,187x = 3,265,893,904
  5. Step 5: Solve for x
    x = 3,265,893,904/28,187
  6. Step 6: Final answer
    x = 115,865.25

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.