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Finding the Third Proportional to 12,687 and 24,946.50

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Solution

The third proportional to 12,687 and 24,946.50 is: 49,052.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,687 : 24,946.50 = 24,946.50 : x
  2. Step 2: Convert to fraction form
    12,687/24,946.50 = 24,946.50/x
  3. Step 3: Cross multiply
    12,687x = 24,946.50 × 24,946.50
  4. Step 4: Simplify right side
    12,687x = 622,327,862.25
  5. Step 5: Solve for x
    x = 622,327,862.25/12,687
  6. Step 6: Final answer
    x = 49,052.41

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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.