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Finding the Third Proportional to 16,135 and 34,743

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Solution

The third proportional to 16,135 and 34,743 is: 74,811.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,135 : 34,743 = 34,743 : x
  2. Step 2: Convert to fraction form
    16,135/34,743 = 34,743/x
  3. Step 3: Cross multiply
    16,135x = 34,743 × 34,743
  4. Step 4: Simplify right side
    16,135x = 1,207,076,049
  5. Step 5: Solve for x
    x = 1,207,076,049/16,135
  6. Step 6: Final answer
    x = 74,811.03

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.