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Finding the Third Proportional to 20,521 and 44,208.50

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Solution

The third proportional to 20,521 and 44,208.50 is: 95,238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,521 : 44,208.50 = 44,208.50 : x
  2. Step 2: Convert to fraction form
    20,521/44,208.50 = 44,208.50/x
  3. Step 3: Cross multiply
    20,521x = 44,208.50 × 44,208.50
  4. Step 4: Simplify right side
    20,521x = 1,954,391,472.25
  5. Step 5: Solve for x
    x = 1,954,391,472.25/20,521
  6. Step 6: Final answer
    x = 95,238.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.