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Finding the Third Proportional to 21,825 and 48,483

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Solution

The third proportional to 21,825 and 48,483 is: 107,702.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,825 : 48,483 = 48,483 : x
  2. Step 2: Convert to fraction form
    21,825/48,483 = 48,483/x
  3. Step 3: Cross multiply
    21,825x = 48,483 × 48,483
  4. Step 4: Simplify right side
    21,825x = 2,350,601,289
  5. Step 5: Solve for x
    x = 2,350,601,289/21,825
  6. Step 6: Final answer
    x = 107,702.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.