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Finding the Third Proportional to 19,956 and 44,052

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Solution

The third proportional to 19,956 and 44,052 is: 97,242.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,956 : 44,052 = 44,052 : x
  2. Step 2: Convert to fraction form
    19,956/44,052 = 44,052/x
  3. Step 3: Cross multiply
    19,956x = 44,052 × 44,052
  4. Step 4: Simplify right side
    19,956x = 1,940,578,704
  5. Step 5: Solve for x
    x = 1,940,578,704/19,956
  6. Step 6: Final answer
    x = 97,242.87

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.