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Finding the Third Proportional to 17,695 and 24,791

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Solution

The third proportional to 17,695 and 24,791 is: 34,732.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,695 : 24,791 = 24,791 : x
  2. Step 2: Convert to fraction form
    17,695/24,791 = 24,791/x
  3. Step 3: Cross multiply
    17,695x = 24,791 × 24,791
  4. Step 4: Simplify right side
    17,695x = 614,593,681
  5. Step 5: Solve for x
    x = 614,593,681/17,695
  6. Step 6: Final answer
    x = 34,732.62

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.