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Finding the Third Proportional to 32,296 and 50,316

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Solution

The third proportional to 32,296 and 50,316 is: 78,390.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,296 : 50,316 = 50,316 : x
  2. Step 2: Convert to fraction form
    32,296/50,316 = 50,316/x
  3. Step 3: Cross multiply
    32,296x = 50,316 × 50,316
  4. Step 4: Simplify right side
    32,296x = 2,531,699,856
  5. Step 5: Solve for x
    x = 2,531,699,856/32,296
  6. Step 6: Final answer
    x = 78,390.51

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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.