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Finding the Third Proportional to 25,826 and 38,257

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Solution

The third proportional to 25,826 and 38,257 is: 56,671.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,826 : 38,257 = 38,257 : x
  2. Step 2: Convert to fraction form
    25,826/38,257 = 38,257/x
  3. Step 3: Cross multiply
    25,826x = 38,257 × 38,257
  4. Step 4: Simplify right side
    25,826x = 1,463,598,049
  5. Step 5: Solve for x
    x = 1,463,598,049/25,826
  6. Step 6: Final answer
    x = 56,671.50

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.