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Finding the Third Proportional to 21,825 and 32,919.75

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Solution

The third proportional to 21,825 and 32,919.75 is: 49,654.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,825 : 32,919.75 = 32,919.75 : x
  2. Step 2: Convert to fraction form
    21,825/32,919.75 = 32,919.75/x
  3. Step 3: Cross multiply
    21,825x = 32,919.75 × 32,919.75
  4. Step 4: Simplify right side
    21,825x = 1,083,709,940.06
  5. Step 5: Solve for x
    x = 1,083,709,940.06/21,825
  6. Step 6: Final answer
    x = 49,654.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.