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Finding the Third Proportional to 34,714 and 50,773

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Solution

The third proportional to 34,714 and 50,773 is: 74,261.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,714 : 50,773 = 50,773 : x
  2. Step 2: Convert to fraction form
    34,714/50,773 = 50,773/x
  3. Step 3: Cross multiply
    34,714x = 50,773 × 50,773
  4. Step 4: Simplify right side
    34,714x = 2,577,897,529
  5. Step 5: Solve for x
    x = 2,577,897,529/34,714
  6. Step 6: Final answer
    x = 74,261.03

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.