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Finding the Third Proportional to 32,024 and 51,455

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Solution

The third proportional to 32,024 and 51,455 is: 82,676.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,024 : 51,455 = 51,455 : x
  2. Step 2: Convert to fraction form
    32,024/51,455 = 51,455/x
  3. Step 3: Cross multiply
    32,024x = 51,455 × 51,455
  4. Step 4: Simplify right side
    32,024x = 2,647,617,025
  5. Step 5: Solve for x
    x = 2,647,617,025/32,024
  6. Step 6: Final answer
    x = 82,676.03

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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.