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Finding the Third Proportional to 21,810 and 33,564

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Solution

The third proportional to 21,810 and 33,564 is: 51,652.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,810 : 33,564 = 33,564 : x
  2. Step 2: Convert to fraction form
    21,810/33,564 = 33,564/x
  3. Step 3: Cross multiply
    21,810x = 33,564 × 33,564
  4. Step 4: Simplify right side
    21,810x = 1,126,542,096
  5. Step 5: Solve for x
    x = 1,126,542,096/21,810
  6. Step 6: Final answer
    x = 51,652.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.