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Finding the Third Proportional to 7,214 and 9,749

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Solution

The third proportional to 7,214 and 9,749 is: 13,174.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214 : 9,749 = 9,749 : x
  2. Step 2: Convert to fraction form
    7,214/9,749 = 9,749/x
  3. Step 3: Cross multiply
    7,214x = 9,749 × 9,749
  4. Step 4: Simplify right side
    7,214x = 95,043,001
  5. Step 5: Solve for x
    x = 95,043,001/7,214
  6. Step 6: Final answer
    x = 13,174.80

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.