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Finding the Third Proportional to 32,282 and 49,857

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Solution

The third proportional to 32,282 and 49,857 is: 77,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,282 : 49,857 = 49,857 : x
  2. Step 2: Convert to fraction form
    32,282/49,857 = 49,857/x
  3. Step 3: Cross multiply
    32,282x = 49,857 × 49,857
  4. Step 4: Simplify right side
    32,282x = 2,485,720,449
  5. Step 5: Solve for x
    x = 2,485,720,449/32,282
  6. Step 6: Final answer
    x = 77,000.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.