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Finding the Third Proportional to 8,410 and 16,598

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Solution

The third proportional to 8,410 and 16,598 is: 32,757.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410 : 16,598 = 16,598 : x
  2. Step 2: Convert to fraction form
    8,410/16,598 = 16,598/x
  3. Step 3: Cross multiply
    8,410x = 16,598 × 16,598
  4. Step 4: Simplify right side
    8,410x = 275,493,604
  5. Step 5: Solve for x
    x = 275,493,604/8,410
  6. Step 6: Final answer
    x = 32,757.86

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.