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Finding the Third Proportional to 54,825.75 and 82,022.63

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Solution

The third proportional to 54,825.75 and 82,022.63 is: 122,710.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,825.75 : 82,022.63 = 82,022.63 : x
  2. Step 2: Convert to fraction form
    54,825.75/82,022.63 = 82,022.63/x
  3. Step 3: Cross multiply
    54,825.75x = 82,022.63 × 82,022.63
  4. Step 4: Simplify right side
    54,825.75x = 6,727,711,011.89
  5. Step 5: Solve for x
    x = 6,727,711,011.89/54,825.75
  6. Step 6: Final answer
    x = 122,710.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.