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Finding the Third Proportional to 32,019 and 51,446

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Solution

The third proportional to 32,019 and 51,446 is: 82,660.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,019 : 51,446 = 51,446 : x
  2. Step 2: Convert to fraction form
    32,019/51,446 = 51,446/x
  3. Step 3: Cross multiply
    32,019x = 51,446 × 51,446
  4. Step 4: Simplify right side
    32,019x = 2,646,690,916
  5. Step 5: Solve for x
    x = 2,646,690,916/32,019
  6. Step 6: Final answer
    x = 82,660.01

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.