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Finding the Third Proportional to 25,714 and 38,846

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Solution

The third proportional to 25,714 and 38,846 is: 58,684.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,714 : 38,846 = 38,846 : x
  2. Step 2: Convert to fraction form
    25,714/38,846 = 38,846/x
  3. Step 3: Cross multiply
    25,714x = 38,846 × 38,846
  4. Step 4: Simplify right side
    25,714x = 1,509,011,716
  5. Step 5: Solve for x
    x = 1,509,011,716/25,714
  6. Step 6: Final answer
    x = 58,684.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.