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Finding the Third Proportional to 20,916 and 32,436

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Solution

The third proportional to 20,916 and 32,436 is: 50,300.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,916 : 32,436 = 32,436 : x
  2. Step 2: Convert to fraction form
    20,916/32,436 = 32,436/x
  3. Step 3: Cross multiply
    20,916x = 32,436 × 32,436
  4. Step 4: Simplify right side
    20,916x = 1,052,094,096
  5. Step 5: Solve for x
    x = 1,052,094,096/20,916
  6. Step 6: Final answer
    x = 50,300.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.