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Finding the Third Proportional to 21,054 and 32,811

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Solution

The third proportional to 21,054 and 32,811 is: 51,133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,054 : 32,811 = 32,811 : x
  2. Step 2: Convert to fraction form
    21,054/32,811 = 32,811/x
  3. Step 3: Cross multiply
    21,054x = 32,811 × 32,811
  4. Step 4: Simplify right side
    21,054x = 1,076,561,721
  5. Step 5: Solve for x
    x = 1,076,561,721/21,054
  6. Step 6: Final answer
    x = 51,133.36

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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.