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Finding the Third Proportional to 43,046 and 66,519

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Solution

The third proportional to 43,046 and 66,519 is: 102,791.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,046 : 66,519 = 66,519 : x
  2. Step 2: Convert to fraction form
    43,046/66,519 = 66,519/x
  3. Step 3: Cross multiply
    43,046x = 66,519 × 66,519
  4. Step 4: Simplify right side
    43,046x = 4,424,777,361
  5. Step 5: Solve for x
    x = 4,424,777,361/43,046
  6. Step 6: Final answer
    x = 102,791.84

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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.