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Finding the Third Proportional to 34,699 and 67,670

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Solution

The third proportional to 34,699 and 67,670 is: 131,970.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,699 : 67,670 = 67,670 : x
  2. Step 2: Convert to fraction form
    34,699/67,670 = 67,670/x
  3. Step 3: Cross multiply
    34,699x = 67,670 × 67,670
  4. Step 4: Simplify right side
    34,699x = 4,579,228,900
  5. Step 5: Solve for x
    x = 4,579,228,900/34,699
  6. Step 6: Final answer
    x = 131,970.05

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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.