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Finding the Third Proportional to 28,372 and 61,822

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Solution

The third proportional to 28,372 and 61,822 is: 134,708.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,372 : 61,822 = 61,822 : x
  2. Step 2: Convert to fraction form
    28,372/61,822 = 61,822/x
  3. Step 3: Cross multiply
    28,372x = 61,822 × 61,822
  4. Step 4: Simplify right side
    28,372x = 3,821,959,684
  5. Step 5: Solve for x
    x = 3,821,959,684/28,372
  6. Step 6: Final answer
    x = 134,708.86

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