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Finding the Third Proportional to 36,410 and 54,735

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Solution

The third proportional to 36,410 and 54,735 is: 82,282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,410 : 54,735 = 54,735 : x
  2. Step 2: Convert to fraction form
    36,410/54,735 = 54,735/x
  3. Step 3: Cross multiply
    36,410x = 54,735 × 54,735
  4. Step 4: Simplify right side
    36,410x = 2,995,920,225
  5. Step 5: Solve for x
    x = 2,995,920,225/36,410
  6. Step 6: Final answer
    x = 82,282.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.