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Finding the Third Proportional to 25,676 and 34,343

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Solution

The third proportional to 25,676 and 34,343 is: 45,935.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,676 : 34,343 = 34,343 : x
  2. Step 2: Convert to fraction form
    25,676/34,343 = 34,343/x
  3. Step 3: Cross multiply
    25,676x = 34,343 × 34,343
  4. Step 4: Simplify right side
    25,676x = 1,179,441,649
  5. Step 5: Solve for x
    x = 1,179,441,649/25,676
  6. Step 6: Final answer
    x = 45,935.57

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.