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Finding the Third Proportional to 28,027 and 55,276

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Solution

The third proportional to 28,027 and 55,276 is: 109,017.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,027 : 55,276 = 55,276 : x
  2. Step 2: Convert to fraction form
    28,027/55,276 = 55,276/x
  3. Step 3: Cross multiply
    28,027x = 55,276 × 55,276
  4. Step 4: Simplify right side
    28,027x = 3,055,436,176
  5. Step 5: Solve for x
    x = 3,055,436,176/28,027
  6. Step 6: Final answer
    x = 109,017.60

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.