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Finding the Third Proportional to 55,631.25 and 82,818

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Solution

The third proportional to 55,631.25 and 82,818 is: 123,290.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,631.25 : 82,818 = 82,818 : x
  2. Step 2: Convert to fraction form
    55,631.25/82,818 = 82,818/x
  3. Step 3: Cross multiply
    55,631.25x = 82,818 × 82,818
  4. Step 4: Simplify right side
    55,631.25x = 6,858,821,124
  5. Step 5: Solve for x
    x = 6,858,821,124/55,631.25
  6. Step 6: Final answer
    x = 123,290.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.