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Finding the Third Proportional to 29,851 and 62,766

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Solution

The third proportional to 29,851 and 62,766 is: 131,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,851 : 62,766 = 62,766 : x
  2. Step 2: Convert to fraction form
    29,851/62,766 = 62,766/x
  3. Step 3: Cross multiply
    29,851x = 62,766 × 62,766
  4. Step 4: Simplify right side
    29,851x = 3,939,570,756
  5. Step 5: Solve for x
    x = 3,939,570,756/29,851
  6. Step 6: Final answer
    x = 131,974.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.