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Finding the Third Proportional to 27,078 and 39,816

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Solution

The third proportional to 27,078 and 39,816 is: 58,546.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,078 : 39,816 = 39,816 : x
  2. Step 2: Convert to fraction form
    27,078/39,816 = 39,816/x
  3. Step 3: Cross multiply
    27,078x = 39,816 × 39,816
  4. Step 4: Simplify right side
    27,078x = 1,585,313,856
  5. Step 5: Solve for x
    x = 1,585,313,856/27,078
  6. Step 6: Final answer
    x = 58,546.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.