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Finding the Third Proportional to 28,582 and 61,266

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Solution

The third proportional to 28,582 and 61,266 is: 131,324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,582 : 61,266 = 61,266 : x
  2. Step 2: Convert to fraction form
    28,582/61,266 = 61,266/x
  3. Step 3: Cross multiply
    28,582x = 61,266 × 61,266
  4. Step 4: Simplify right side
    28,582x = 3,753,522,756
  5. Step 5: Solve for x
    x = 3,753,522,756/28,582
  6. Step 6: Final answer
    x = 131,324.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.