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Finding the Third Proportional to 41,634 and 64,485

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Solution

The third proportional to 41,634 and 64,485 is: 99,877.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,634 : 64,485 = 64,485 : x
  2. Step 2: Convert to fraction form
    41,634/64,485 = 64,485/x
  3. Step 3: Cross multiply
    41,634x = 64,485 × 64,485
  4. Step 4: Simplify right side
    41,634x = 4,158,315,225
  5. Step 5: Solve for x
    x = 4,158,315,225/41,634
  6. Step 6: Final answer
    x = 99,877.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.