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Finding the Third Proportional to 35,258 and 50,941

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Solution

The third proportional to 35,258 and 50,941 is: 73,599.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,258 : 50,941 = 50,941 : x
  2. Step 2: Convert to fraction form
    35,258/50,941 = 50,941/x
  3. Step 3: Cross multiply
    35,258x = 50,941 × 50,941
  4. Step 4: Simplify right side
    35,258x = 2,594,985,481
  5. Step 5: Solve for x
    x = 2,594,985,481/35,258
  6. Step 6: Final answer
    x = 73,599.91

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.