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Finding the Third Proportional to 6,854 and 14,749

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Solution

The third proportional to 6,854 and 14,749 is: 31,738.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854 : 14,749 = 14,749 : x
  2. Step 2: Convert to fraction form
    6,854/14,749 = 14,749/x
  3. Step 3: Cross multiply
    6,854x = 14,749 × 14,749
  4. Step 4: Simplify right side
    6,854x = 217,533,001
  5. Step 5: Solve for x
    x = 217,533,001/6,854
  6. Step 6: Final answer
    x = 31,738.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.