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Finding the Third Proportional to 27,158 and 39,765

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Solution

The third proportional to 27,158 and 39,765 is: 58,224.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,158 : 39,765 = 39,765 : x
  2. Step 2: Convert to fraction form
    27,158/39,765 = 39,765/x
  3. Step 3: Cross multiply
    27,158x = 39,765 × 39,765
  4. Step 4: Simplify right side
    27,158x = 1,581,255,225
  5. Step 5: Solve for x
    x = 1,581,255,225/27,158
  6. Step 6: Final answer
    x = 58,224.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.