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Finding the Third Proportional to 17,775 and 38,283

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Solution

The third proportional to 17,775 and 38,283 is: 82,452.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,775 : 38,283 = 38,283 : x
  2. Step 2: Convert to fraction form
    17,775/38,283 = 38,283/x
  3. Step 3: Cross multiply
    17,775x = 38,283 × 38,283
  4. Step 4: Simplify right side
    17,775x = 1,465,588,089
  5. Step 5: Solve for x
    x = 1,465,588,089/17,775
  6. Step 6: Final answer
    x = 82,452.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.