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Finding the Third Proportional to 41,730 and 92,793

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Solution

The third proportional to 41,730 and 92,793 is: 206,339.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,730 : 92,793 = 92,793 : x
  2. Step 2: Convert to fraction form
    41,730/92,793 = 92,793/x
  3. Step 3: Cross multiply
    41,730x = 92,793 × 92,793
  4. Step 4: Simplify right side
    41,730x = 8,610,540,849
  5. Step 5: Solve for x
    x = 8,610,540,849/41,730
  6. Step 6: Final answer
    x = 206,339.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.