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Finding the Third Proportional to 21,348 and 30,747.75

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Solution

The third proportional to 21,348 and 30,747.75 is: 44,286.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,348 : 30,747.75 = 30,747.75 : x
  2. Step 2: Convert to fraction form
    21,348/30,747.75 = 30,747.75/x
  3. Step 3: Cross multiply
    21,348x = 30,747.75 × 30,747.75
  4. Step 4: Simplify right side
    21,348x = 945,424,130.06
  5. Step 5: Solve for x
    x = 945,424,130.06/21,348
  6. Step 6: Final answer
    x = 44,286.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.