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Finding the Third Proportional to 28,822 and 43,826

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Solution

The third proportional to 28,822 and 43,826 is: 66,640.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,822 : 43,826 = 43,826 : x
  2. Step 2: Convert to fraction form
    28,822/43,826 = 43,826/x
  3. Step 3: Cross multiply
    28,822x = 43,826 × 43,826
  4. Step 4: Simplify right side
    28,822x = 1,920,718,276
  5. Step 5: Solve for x
    x = 1,920,718,276/28,822
  6. Step 6: Final answer
    x = 66,640.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.