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Finding the Third Proportional to 22,825 and 30,531

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Solution

The third proportional to 22,825 and 30,531 is: 40,838.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,825 : 30,531 = 30,531 : x
  2. Step 2: Convert to fraction form
    22,825/30,531 = 30,531/x
  3. Step 3: Cross multiply
    22,825x = 30,531 × 30,531
  4. Step 4: Simplify right side
    22,825x = 932,141,961
  5. Step 5: Solve for x
    x = 932,141,961/22,825
  6. Step 6: Final answer
    x = 40,838.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.