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Finding the Third Proportional to 21,944 and 48,052

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Solution

The third proportional to 21,944 and 48,052 is: 105,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,944 : 48,052 = 48,052 : x
  2. Step 2: Convert to fraction form
    21,944/48,052 = 48,052/x
  3. Step 3: Cross multiply
    21,944x = 48,052 × 48,052
  4. Step 4: Simplify right side
    21,944x = 2,308,994,704
  5. Step 5: Solve for x
    x = 2,308,994,704/21,944
  6. Step 6: Final answer
    x = 105,222.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.