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Finding the Third Proportional to 32,876 and 50,583

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Solution

The third proportional to 32,876 and 50,583 is: 77,826.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,876 : 50,583 = 50,583 : x
  2. Step 2: Convert to fraction form
    32,876/50,583 = 50,583/x
  3. Step 3: Cross multiply
    32,876x = 50,583 × 50,583
  4. Step 4: Simplify right side
    32,876x = 2,558,639,889
  5. Step 5: Solve for x
    x = 2,558,639,889/32,876
  6. Step 6: Final answer
    x = 77,826.98

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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.