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Finding the Third Proportional to 16,635 and 36,141

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Solution

The third proportional to 16,635 and 36,141 is: 78,519.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,635 : 36,141 = 36,141 : x
  2. Step 2: Convert to fraction form
    16,635/36,141 = 36,141/x
  3. Step 3: Cross multiply
    16,635x = 36,141 × 36,141
  4. Step 4: Simplify right side
    16,635x = 1,306,171,881
  5. Step 5: Solve for x
    x = 1,306,171,881/16,635
  6. Step 6: Final answer
    x = 78,519.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.