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Finding the Third Proportional to 21,674 and 30,441

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Solution

The third proportional to 21,674 and 30,441 is: 42,754.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,674 : 30,441 = 30,441 : x
  2. Step 2: Convert to fraction form
    21,674/30,441 = 30,441/x
  3. Step 3: Cross multiply
    21,674x = 30,441 × 30,441
  4. Step 4: Simplify right side
    21,674x = 926,654,481
  5. Step 5: Solve for x
    x = 926,654,481/21,674
  6. Step 6: Final answer
    x = 42,754.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.