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Finding the Third Proportional to 39,546 and 57,159

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Solution

The third proportional to 39,546 and 57,159 is: 82,616.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,546 : 57,159 = 57,159 : x
  2. Step 2: Convert to fraction form
    39,546/57,159 = 57,159/x
  3. Step 3: Cross multiply
    39,546x = 57,159 × 57,159
  4. Step 4: Simplify right side
    39,546x = 3,267,151,281
  5. Step 5: Solve for x
    x = 3,267,151,281/39,546
  6. Step 6: Final answer
    x = 82,616.48

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.