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Finding the Third Proportional to 32,286 and 49,893

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Solution

The third proportional to 32,286 and 49,893 is: 77,101.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,286 : 49,893 = 49,893 : x
  2. Step 2: Convert to fraction form
    32,286/49,893 = 49,893/x
  3. Step 3: Cross multiply
    32,286x = 49,893 × 49,893
  4. Step 4: Simplify right side
    32,286x = 2,489,311,449
  5. Step 5: Solve for x
    x = 2,489,311,449/32,286
  6. Step 6: Final answer
    x = 77,101.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.