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Finding the Third Proportional to 16,154 and 32,902

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Solution

The third proportional to 16,154 and 32,902 is: 67,013.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,154 : 32,902 = 32,902 : x
  2. Step 2: Convert to fraction form
    16,154/32,902 = 32,902/x
  3. Step 3: Cross multiply
    16,154x = 32,902 × 32,902
  4. Step 4: Simplify right side
    16,154x = 1,082,541,604
  5. Step 5: Solve for x
    x = 1,082,541,604/16,154
  6. Step 6: Final answer
    x = 67,013.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.