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Finding the Third Proportional to 21,945 and 48,057

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Solution

The third proportional to 21,945 and 48,057 is: 105,239.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,945 : 48,057 = 48,057 : x
  2. Step 2: Convert to fraction form
    21,945/48,057 = 48,057/x
  3. Step 3: Cross multiply
    21,945x = 48,057 × 48,057
  4. Step 4: Simplify right side
    21,945x = 2,309,475,249
  5. Step 5: Solve for x
    x = 2,309,475,249/21,945
  6. Step 6: Final answer
    x = 105,239.25

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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.