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Finding the Third Proportional to 34,000 and 56,189

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Solution

The third proportional to 34,000 and 56,189 is: 92,858.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,000 : 56,189 = 56,189 : x
  2. Step 2: Convert to fraction form
    34,000/56,189 = 56,189/x
  3. Step 3: Cross multiply
    34,000x = 56,189 × 56,189
  4. Step 4: Simplify right side
    34,000x = 3,157,203,721
  5. Step 5: Solve for x
    x = 3,157,203,721/34,000
  6. Step 6: Final answer
    x = 92,858.93

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.