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Finding the Third Proportional to 21,264 and 33,108

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Solution

The third proportional to 21,264 and 33,108 is: 51,549.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,264 : 33,108 = 33,108 : x
  2. Step 2: Convert to fraction form
    21,264/33,108 = 33,108/x
  3. Step 3: Cross multiply
    21,264x = 33,108 × 33,108
  4. Step 4: Simplify right side
    21,264x = 1,096,139,664
  5. Step 5: Solve for x
    x = 1,096,139,664/21,264
  6. Step 6: Final answer
    x = 51,549.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.