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Finding the Third Proportional to 38,655 and 58,794

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Solution

The third proportional to 38,655 and 58,794 is: 89,425.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,655 : 58,794 = 58,794 : x
  2. Step 2: Convert to fraction form
    38,655/58,794 = 58,794/x
  3. Step 3: Cross multiply
    38,655x = 58,794 × 58,794
  4. Step 4: Simplify right side
    38,655x = 3,456,734,436
  5. Step 5: Solve for x
    x = 3,456,734,436/38,655
  6. Step 6: Final answer
    x = 89,425.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.