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Finding the Third Proportional to 21,820.50 and 48,474

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Solution

The third proportional to 21,820.50 and 48,474 is: 107,684.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,820.50 : 48,474 = 48,474 : x
  2. Step 2: Convert to fraction form
    21,820.50/48,474 = 48,474/x
  3. Step 3: Cross multiply
    21,820.50x = 48,474 × 48,474
  4. Step 4: Simplify right side
    21,820.50x = 2,349,728,676
  5. Step 5: Solve for x
    x = 2,349,728,676/21,820.50
  6. Step 6: Final answer
    x = 107,684.46

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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.