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Finding the Third Proportional to 21,885 and 48,025

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Solution

The third proportional to 21,885 and 48,025 is: 105,387.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,885 : 48,025 = 48,025 : x
  2. Step 2: Convert to fraction form
    21,885/48,025 = 48,025/x
  3. Step 3: Cross multiply
    21,885x = 48,025 × 48,025
  4. Step 4: Simplify right side
    21,885x = 2,306,400,625
  5. Step 5: Solve for x
    x = 2,306,400,625/21,885
  6. Step 6: Final answer
    x = 105,387.28

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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.