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Finding the Third Proportional to 22,827 and 33,453

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Solution

The third proportional to 22,827 and 33,453 is: 49,025.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,827 : 33,453 = 33,453 : x
  2. Step 2: Convert to fraction form
    22,827/33,453 = 33,453/x
  3. Step 3: Cross multiply
    22,827x = 33,453 × 33,453
  4. Step 4: Simplify right side
    22,827x = 1,119,103,209
  5. Step 5: Solve for x
    x = 1,119,103,209/22,827
  6. Step 6: Final answer
    x = 49,025.42

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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.