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Finding the Third Proportional to 25,846 and 38,282

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Solution

The third proportional to 25,846 and 38,282 is: 56,701.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,846 : 38,282 = 38,282 : x
  2. Step 2: Convert to fraction form
    25,846/38,282 = 38,282/x
  3. Step 3: Cross multiply
    25,846x = 38,282 × 38,282
  4. Step 4: Simplify right side
    25,846x = 1,465,511,524
  5. Step 5: Solve for x
    x = 1,465,511,524/25,846
  6. Step 6: Final answer
    x = 56,701.68

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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.