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Finding the Third Proportional to 21,928 and 48,022

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Solution

The third proportional to 21,928 and 48,022 is: 105,167.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,928 : 48,022 = 48,022 : x
  2. Step 2: Convert to fraction form
    21,928/48,022 = 48,022/x
  3. Step 3: Cross multiply
    21,928x = 48,022 × 48,022
  4. Step 4: Simplify right side
    21,928x = 2,306,112,484
  5. Step 5: Solve for x
    x = 2,306,112,484/21,928
  6. Step 6: Final answer
    x = 105,167.48

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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.