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Finding the Third Proportional to 25,674 and 38,134

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Solution

The third proportional to 25,674 and 38,134 is: 56,641.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,674 : 38,134 = 38,134 : x
  2. Step 2: Convert to fraction form
    25,674/38,134 = 38,134/x
  3. Step 3: Cross multiply
    25,674x = 38,134 × 38,134
  4. Step 4: Simplify right side
    25,674x = 1,454,201,956
  5. Step 5: Solve for x
    x = 1,454,201,956/25,674
  6. Step 6: Final answer
    x = 56,641.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.