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Finding the Third Proportional to 46,761 and 63,885

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Solution

The third proportional to 46,761 and 63,885 is: 87,279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,761 : 63,885 = 63,885 : x
  2. Step 2: Convert to fraction form
    46,761/63,885 = 63,885/x
  3. Step 3: Cross multiply
    46,761x = 63,885 × 63,885
  4. Step 4: Simplify right side
    46,761x = 4,081,293,225
  5. Step 5: Solve for x
    x = 4,081,293,225/46,761
  6. Step 6: Final answer
    x = 87,279.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.