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Finding the Third Proportional to 24,695 and 36,394

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Solution

The third proportional to 24,695 and 36,394 is: 53,635.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,695 : 36,394 = 36,394 : x
  2. Step 2: Convert to fraction form
    24,695/36,394 = 36,394/x
  3. Step 3: Cross multiply
    24,695x = 36,394 × 36,394
  4. Step 4: Simplify right side
    24,695x = 1,324,523,236
  5. Step 5: Solve for x
    x = 1,324,523,236/24,695
  6. Step 6: Final answer
    x = 53,635.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.