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Finding the Third Proportional to 54,830 and 82,022

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Solution

The third proportional to 54,830 and 82,022 is: 122,699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,830 : 82,022 = 82,022 : x
  2. Step 2: Convert to fraction form
    54,830/82,022 = 82,022/x
  3. Step 3: Cross multiply
    54,830x = 82,022 × 82,022
  4. Step 4: Simplify right side
    54,830x = 6,727,608,484
  5. Step 5: Solve for x
    x = 6,727,608,484/54,830
  6. Step 6: Final answer
    x = 122,699.41

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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.