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Finding the Third Proportional to 41,775 and 64,785

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Solution

The third proportional to 41,775 and 64,785 is: 100,469.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,775 : 64,785 = 64,785 : x
  2. Step 2: Convert to fraction form
    41,775/64,785 = 64,785/x
  3. Step 3: Cross multiply
    41,775x = 64,785 × 64,785
  4. Step 4: Simplify right side
    41,775x = 4,197,096,225
  5. Step 5: Solve for x
    x = 4,197,096,225/41,775
  6. Step 6: Final answer
    x = 100,469.09

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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.