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Finding the Third Proportional to 21,888 and 48,384

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Solution

The third proportional to 21,888 and 48,384 is: 106,954.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,888 : 48,384 = 48,384 : x
  2. Step 2: Convert to fraction form
    21,888/48,384 = 48,384/x
  3. Step 3: Cross multiply
    21,888x = 48,384 × 48,384
  4. Step 4: Simplify right side
    21,888x = 2,341,011,456
  5. Step 5: Solve for x
    x = 2,341,011,456/21,888
  6. Step 6: Final answer
    x = 106,954.11

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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.