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Finding the Third Proportional to 41,909 and 56,950

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Solution

The third proportional to 41,909 and 56,950 is: 77,389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,909 : 56,950 = 56,950 : x
  2. Step 2: Convert to fraction form
    41,909/56,950 = 56,950/x
  3. Step 3: Cross multiply
    41,909x = 56,950 × 56,950
  4. Step 4: Simplify right side
    41,909x = 3,243,302,500
  5. Step 5: Solve for x
    x = 3,243,302,500/41,909
  6. Step 6: Final answer
    x = 77,389.16

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.