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Finding the Third Proportional to 34,330 and 51,671

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Solution

The third proportional to 34,330 and 51,671 is: 77,771.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,330 : 51,671 = 51,671 : x
  2. Step 2: Convert to fraction form
    34,330/51,671 = 51,671/x
  3. Step 3: Cross multiply
    34,330x = 51,671 × 51,671
  4. Step 4: Simplify right side
    34,330x = 2,669,892,241
  5. Step 5: Solve for x
    x = 2,669,892,241/34,330
  6. Step 6: Final answer
    x = 77,771.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.