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Finding the Third Proportional to 24,172 and 50,964

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Solution

The third proportional to 24,172 and 50,964 is: 107,451.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,172 : 50,964 = 50,964 : x
  2. Step 2: Convert to fraction form
    24,172/50,964 = 50,964/x
  3. Step 3: Cross multiply
    24,172x = 50,964 × 50,964
  4. Step 4: Simplify right side
    24,172x = 2,597,329,296
  5. Step 5: Solve for x
    x = 2,597,329,296/24,172
  6. Step 6: Final answer
    x = 107,451.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.