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Finding the Third Proportional to 12,147 and 25,749

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Solution

The third proportional to 12,147 and 25,749 is: 54,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147 : 25,749 = 25,749 : x
  2. Step 2: Convert to fraction form
    12,147/25,749 = 25,749/x
  3. Step 3: Cross multiply
    12,147x = 25,749 × 25,749
  4. Step 4: Simplify right side
    12,147x = 663,011,001
  5. Step 5: Solve for x
    x = 663,011,001/12,147
  6. Step 6: Final answer
    x = 54,582.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.