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Finding the Third Proportional to 12,546 and 24,777

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Solution

The third proportional to 12,546 and 24,777 is: 48,931.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546 : 24,777 = 24,777 : x
  2. Step 2: Convert to fraction form
    12,546/24,777 = 24,777/x
  3. Step 3: Cross multiply
    12,546x = 24,777 × 24,777
  4. Step 4: Simplify right side
    12,546x = 613,899,729
  5. Step 5: Solve for x
    x = 613,899,729/12,546
  6. Step 6: Final answer
    x = 48,931.91

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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.