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Finding the Third Proportional to 41,214 and 61,830

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Solution

The third proportional to 41,214 and 61,830 is: 92,758.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,214 : 61,830 = 61,830 : x
  2. Step 2: Convert to fraction form
    41,214/61,830 = 61,830/x
  3. Step 3: Cross multiply
    41,214x = 61,830 × 61,830
  4. Step 4: Simplify right side
    41,214x = 3,822,948,900
  5. Step 5: Solve for x
    x = 3,822,948,900/41,214
  6. Step 6: Final answer
    x = 92,758.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.