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Finding the Third Proportional to 12,294 and 24,504

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Solution

The third proportional to 12,294 and 24,504 is: 48,840.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294 : 24,504 = 24,504 : x
  2. Step 2: Convert to fraction form
    12,294/24,504 = 24,504/x
  3. Step 3: Cross multiply
    12,294x = 24,504 × 24,504
  4. Step 4: Simplify right side
    12,294x = 600,446,016
  5. Step 5: Solve for x
    x = 600,446,016/12,294
  6. Step 6: Final answer
    x = 48,840.57

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.