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Finding the Third Proportional to 15,676 and 34,114

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Solution

The third proportional to 15,676 and 34,114 is: 74,238.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,676 : 34,114 = 34,114 : x
  2. Step 2: Convert to fraction form
    15,676/34,114 = 34,114/x
  3. Step 3: Cross multiply
    15,676x = 34,114 × 34,114
  4. Step 4: Simplify right side
    15,676x = 1,163,764,996
  5. Step 5: Solve for x
    x = 1,163,764,996/15,676
  6. Step 6: Final answer
    x = 74,238.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.