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Finding the Third Proportional to 28,206 and 41,436

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Solution

The third proportional to 28,206 and 41,436 is: 60,871.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,206 : 41,436 = 41,436 : x
  2. Step 2: Convert to fraction form
    28,206/41,436 = 41,436/x
  3. Step 3: Cross multiply
    28,206x = 41,436 × 41,436
  4. Step 4: Simplify right side
    28,206x = 1,716,942,096
  5. Step 5: Solve for x
    x = 1,716,942,096/28,206
  6. Step 6: Final answer
    x = 60,871.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.