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Finding the Third Proportional to 12,551 and 24,783

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Solution

The third proportional to 12,551 and 24,783 is: 48,936.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,551 : 24,783 = 24,783 : x
  2. Step 2: Convert to fraction form
    12,551/24,783 = 24,783/x
  3. Step 3: Cross multiply
    12,551x = 24,783 × 24,783
  4. Step 4: Simplify right side
    12,551x = 614,197,089
  5. Step 5: Solve for x
    x = 614,197,089/12,551
  6. Step 6: Final answer
    x = 48,936.11

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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.