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Finding the Third Proportional to 32,891 and 51,259

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Solution

The third proportional to 32,891 and 51,259 is: 79,884.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,891 : 51,259 = 51,259 : x
  2. Step 2: Convert to fraction form
    32,891/51,259 = 51,259/x
  3. Step 3: Cross multiply
    32,891x = 51,259 × 51,259
  4. Step 4: Simplify right side
    32,891x = 2,627,485,081
  5. Step 5: Solve for x
    x = 2,627,485,081/32,891
  6. Step 6: Final answer
    x = 79,884.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.