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Finding the Third Proportional to 46,956 and 66,042

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Solution

The third proportional to 46,956 and 66,042 is: 92,885.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,956 : 66,042 = 66,042 : x
  2. Step 2: Convert to fraction form
    46,956/66,042 = 66,042/x
  3. Step 3: Cross multiply
    46,956x = 66,042 × 66,042
  4. Step 4: Simplify right side
    46,956x = 4,361,545,764
  5. Step 5: Solve for x
    x = 4,361,545,764/46,956
  6. Step 6: Final answer
    x = 92,885.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.