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Finding the Third Proportional to 4,058 and 9,749

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Solution

The third proportional to 4,058 and 9,749 is: 23,421.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,058 : 9,749 = 9,749 : x
  2. Step 2: Convert to fraction form
    4,058/9,749 = 9,749/x
  3. Step 3: Cross multiply
    4,058x = 9,749 × 9,749
  4. Step 4: Simplify right side
    4,058x = 95,043,001
  5. Step 5: Solve for x
    x = 95,043,001/4,058
  6. Step 6: Final answer
    x = 23,421.14

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.