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Finding the Third Proportional to 12,650 and 24,004

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Solution

The third proportional to 12,650 and 24,004 is: 45,548.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,650 : 24,004 = 24,004 : x
  2. Step 2: Convert to fraction form
    12,650/24,004 = 24,004/x
  3. Step 3: Cross multiply
    12,650x = 24,004 × 24,004
  4. Step 4: Simplify right side
    12,650x = 576,192,016
  5. Step 5: Solve for x
    x = 576,192,016/12,650
  6. Step 6: Final answer
    x = 45,548.78

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.