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Finding the Third Proportional to 21,438 and 50,672.25

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Solution

The third proportional to 21,438 and 50,672.25 is: 119,772.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,438 : 50,672.25 = 50,672.25 : x
  2. Step 2: Convert to fraction form
    21,438/50,672.25 = 50,672.25/x
  3. Step 3: Cross multiply
    21,438x = 50,672.25 × 50,672.25
  4. Step 4: Simplify right side
    21,438x = 2,567,676,920.06
  5. Step 5: Solve for x
    x = 2,567,676,920.06/21,438
  6. Step 6: Final answer
    x = 119,772.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.