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Finding the Third Proportional to 16,241 and 34,786

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Solution

The third proportional to 16,241 and 34,786 is: 74,506.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241 : 34,786 = 34,786 : x
  2. Step 2: Convert to fraction form
    16,241/34,786 = 34,786/x
  3. Step 3: Cross multiply
    16,241x = 34,786 × 34,786
  4. Step 4: Simplify right side
    16,241x = 1,210,065,796
  5. Step 5: Solve for x
    x = 1,210,065,796/16,241
  6. Step 6: Final answer
    x = 74,506.85

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.