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Finding the Third Proportional to 17,854 and 38,295

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Solution

The third proportional to 17,854 and 38,295 is: 82,138.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854 : 38,295 = 38,295 : x
  2. Step 2: Convert to fraction form
    17,854/38,295 = 38,295/x
  3. Step 3: Cross multiply
    17,854x = 38,295 × 38,295
  4. Step 4: Simplify right side
    17,854x = 1,466,507,025
  5. Step 5: Solve for x
    x = 1,466,507,025/17,854
  6. Step 6: Final answer
    x = 82,138.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.