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Finding the Third Proportional to 20,370 and 44,436

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Solution

The third proportional to 20,370 and 44,436 is: 96,934.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,370 : 44,436 = 44,436 : x
  2. Step 2: Convert to fraction form
    20,370/44,436 = 44,436/x
  3. Step 3: Cross multiply
    20,370x = 44,436 × 44,436
  4. Step 4: Simplify right side
    20,370x = 1,974,558,096
  5. Step 5: Solve for x
    x = 1,974,558,096/20,370
  6. Step 6: Final answer
    x = 96,934.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.