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Finding the Third Proportional to 10,072 and 22,135

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Solution

The third proportional to 10,072 and 22,135 is: 48,645.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072 : 22,135 = 22,135 : x
  2. Step 2: Convert to fraction form
    10,072/22,135 = 22,135/x
  3. Step 3: Cross multiply
    10,072x = 22,135 × 22,135
  4. Step 4: Simplify right side
    10,072x = 489,958,225
  5. Step 5: Solve for x
    x = 489,958,225/10,072
  6. Step 6: Final answer
    x = 48,645.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.