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Finding the Third Proportional to 32,476 and 50,765

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Solution

The third proportional to 32,476 and 50,765 is: 79,353.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,476 : 50,765 = 50,765 : x
  2. Step 2: Convert to fraction form
    32,476/50,765 = 50,765/x
  3. Step 3: Cross multiply
    32,476x = 50,765 × 50,765
  4. Step 4: Simplify right side
    32,476x = 2,577,085,225
  5. Step 5: Solve for x
    x = 2,577,085,225/32,476
  6. Step 6: Final answer
    x = 79,353.53

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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.