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Finding the Third Proportional to 21,924 and 48,222

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Solution

The third proportional to 21,924 and 48,222 is: 106,064.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,924 : 48,222 = 48,222 : x
  2. Step 2: Convert to fraction form
    21,924/48,222 = 48,222/x
  3. Step 3: Cross multiply
    21,924x = 48,222 × 48,222
  4. Step 4: Simplify right side
    21,924x = 2,325,361,284
  5. Step 5: Solve for x
    x = 2,325,361,284/21,924
  6. Step 6: Final answer
    x = 106,064.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.