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Finding the Third Proportional to 16,906 and 36,410

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Solution

The third proportional to 16,906 and 36,410 is: 78,415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,906 : 36,410 = 36,410 : x
  2. Step 2: Convert to fraction form
    16,906/36,410 = 36,410/x
  3. Step 3: Cross multiply
    16,906x = 36,410 × 36,410
  4. Step 4: Simplify right side
    16,906x = 1,325,688,100
  5. Step 5: Solve for x
    x = 1,325,688,100/16,906
  6. Step 6: Final answer
    x = 78,415.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.