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Finding the Third Proportional to 27,821 and 37,323

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Solution

The third proportional to 27,821 and 37,323 is: 50,070.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,821 : 37,323 = 37,323 : x
  2. Step 2: Convert to fraction form
    27,821/37,323 = 37,323/x
  3. Step 3: Cross multiply
    27,821x = 37,323 × 37,323
  4. Step 4: Simplify right side
    27,821x = 1,393,006,329
  5. Step 5: Solve for x
    x = 1,393,006,329/27,821
  6. Step 6: Final answer
    x = 50,070.32

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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.