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Finding the Third Proportional to 34,159 and 40,234

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Solution

The third proportional to 34,159 and 40,234 is: 47,389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,159 : 40,234 = 40,234 : x
  2. Step 2: Convert to fraction form
    34,159/40,234 = 40,234/x
  3. Step 3: Cross multiply
    34,159x = 40,234 × 40,234
  4. Step 4: Simplify right side
    34,159x = 1,618,774,756
  5. Step 5: Solve for x
    x = 1,618,774,756/34,159
  6. Step 6: Final answer
    x = 47,389.41

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.