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Finding the Third Proportional to 21,960 and 48,294

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Solution

The third proportional to 21,960 and 48,294 is: 106,207.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,960 : 48,294 = 48,294 : x
  2. Step 2: Convert to fraction form
    21,960/48,294 = 48,294/x
  3. Step 3: Cross multiply
    21,960x = 48,294 × 48,294
  4. Step 4: Simplify right side
    21,960x = 2,332,310,436
  5. Step 5: Solve for x
    x = 2,332,310,436/21,960
  6. Step 6: Final answer
    x = 106,207.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.