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Finding the Third Proportional to 30,876.75 and 62,844.75

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Solution

The third proportional to 30,876.75 and 62,844.75 is: 127,910.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,876.75 : 62,844.75 = 62,844.75 : x
  2. Step 2: Convert to fraction form
    30,876.75/62,844.75 = 62,844.75/x
  3. Step 3: Cross multiply
    30,876.75x = 62,844.75 × 62,844.75
  4. Step 4: Simplify right side
    30,876.75x = 3,949,462,602.56
  5. Step 5: Solve for x
    x = 3,949,462,602.56/30,876.75
  6. Step 6: Final answer
    x = 127,910.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.