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Finding the Third Proportional to 12,543 and 24,771

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Solution

The third proportional to 12,543 and 24,771 is: 48,919.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,543 : 24,771 = 24,771 : x
  2. Step 2: Convert to fraction form
    12,543/24,771 = 24,771/x
  3. Step 3: Cross multiply
    12,543x = 24,771 × 24,771
  4. Step 4: Simplify right side
    12,543x = 613,602,441
  5. Step 5: Solve for x
    x = 613,602,441/12,543
  6. Step 6: Final answer
    x = 48,919.91

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.