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Finding the Third Proportional to 10,326 and 22,252

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Solution

The third proportional to 10,326 and 22,252 is: 47,951.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,326 : 22,252 = 22,252 : x
  2. Step 2: Convert to fraction form
    10,326/22,252 = 22,252/x
  3. Step 3: Cross multiply
    10,326x = 22,252 × 22,252
  4. Step 4: Simplify right side
    10,326x = 495,151,504
  5. Step 5: Solve for x
    x = 495,151,504/10,326
  6. Step 6: Final answer
    x = 47,951.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.