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Finding the Third Proportional to 28,222 and 41,491

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Solution

The third proportional to 28,222 and 41,491 is: 60,998.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,222 : 41,491 = 41,491 : x
  2. Step 2: Convert to fraction form
    28,222/41,491 = 41,491/x
  3. Step 3: Cross multiply
    28,222x = 41,491 × 41,491
  4. Step 4: Simplify right side
    28,222x = 1,721,503,081
  5. Step 5: Solve for x
    x = 1,721,503,081/28,222
  6. Step 6: Final answer
    x = 60,998.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.