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Finding the Third Proportional to 34,749 and 67,769

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Solution

The third proportional to 34,749 and 67,769 is: 132,166.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,749 : 67,769 = 67,769 : x
  2. Step 2: Convert to fraction form
    34,749/67,769 = 67,769/x
  3. Step 3: Cross multiply
    34,749x = 67,769 × 67,769
  4. Step 4: Simplify right side
    34,749x = 4,592,637,361
  5. Step 5: Solve for x
    x = 4,592,637,361/34,749
  6. Step 6: Final answer
    x = 132,166.03

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.