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Finding the Third Proportional to 12,299 and 24,964

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Solution

The third proportional to 12,299 and 24,964 is: 50,670.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,299 : 24,964 = 24,964 : x
  2. Step 2: Convert to fraction form
    12,299/24,964 = 24,964/x
  3. Step 3: Cross multiply
    12,299x = 24,964 × 24,964
  4. Step 4: Simplify right side
    12,299x = 623,201,296
  5. Step 5: Solve for x
    x = 623,201,296/12,299
  6. Step 6: Final answer
    x = 50,670.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.