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Finding the Third Proportional to 25,674 and 38,406

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Solution

The third proportional to 25,674 and 38,406 is: 57,451.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,674 : 38,406 = 38,406 : x
  2. Step 2: Convert to fraction form
    25,674/38,406 = 38,406/x
  3. Step 3: Cross multiply
    25,674x = 38,406 × 38,406
  4. Step 4: Simplify right side
    25,674x = 1,475,020,836
  5. Step 5: Solve for x
    x = 1,475,020,836/25,674
  6. Step 6: Final answer
    x = 57,451.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.