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Finding the Third Proportional to 21,851 and 32,956

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Solution

The third proportional to 21,851 and 32,956 is: 49,704.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,851 : 32,956 = 32,956 : x
  2. Step 2: Convert to fraction form
    21,851/32,956 = 32,956/x
  3. Step 3: Cross multiply
    21,851x = 32,956 × 32,956
  4. Step 4: Simplify right side
    21,851x = 1,086,097,936
  5. Step 5: Solve for x
    x = 1,086,097,936/21,851
  6. Step 6: Final answer
    x = 49,704.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.