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Finding the Third Proportional to 28,756 and 61,238

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Solution

The third proportional to 28,756 and 61,238 is: 130,410.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,756 : 61,238 = 61,238 : x
  2. Step 2: Convert to fraction form
    28,756/61,238 = 61,238/x
  3. Step 3: Cross multiply
    28,756x = 61,238 × 61,238
  4. Step 4: Simplify right side
    28,756x = 3,750,092,644
  5. Step 5: Solve for x
    x = 3,750,092,644/28,756
  6. Step 6: Final answer
    x = 130,410.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.