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Finding the Third Proportional to 14,554 and 22,252

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Solution

The third proportional to 14,554 and 22,252 is: 34,021.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,554 : 22,252 = 22,252 : x
  2. Step 2: Convert to fraction form
    14,554/22,252 = 22,252/x
  3. Step 3: Cross multiply
    14,554x = 22,252 × 22,252
  4. Step 4: Simplify right side
    14,554x = 495,151,504
  5. Step 5: Solve for x
    x = 495,151,504/14,554
  6. Step 6: Final answer
    x = 34,021.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.