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Finding the Third Proportional to 25,749.38 and 39,849

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Solution

The third proportional to 25,749.38 and 39,849 is: 61,669.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,749.38 : 39,849 = 39,849 : x
  2. Step 2: Convert to fraction form
    25,749.38/39,849 = 39,849/x
  3. Step 3: Cross multiply
    25,749.38x = 39,849 × 39,849
  4. Step 4: Simplify right side
    25,749.38x = 1,587,942,801
  5. Step 5: Solve for x
    x = 1,587,942,801/25,749.38
  6. Step 6: Final answer
    x = 61,669.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.