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Finding the Third Proportional to 28,022 and 61,012

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Solution

The third proportional to 28,022 and 61,012 is: 132,840.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,022 : 61,012 = 61,012 : x
  2. Step 2: Convert to fraction form
    28,022/61,012 = 61,012/x
  3. Step 3: Cross multiply
    28,022x = 61,012 × 61,012
  4. Step 4: Simplify right side
    28,022x = 3,722,464,144
  5. Step 5: Solve for x
    x = 3,722,464,144/28,022
  6. Step 6: Final answer
    x = 132,840.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.