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Finding the Third Proportional to 26,904 and 39,600

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Solution

The third proportional to 26,904 and 39,600 is: 58,287.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,904 : 39,600 = 39,600 : x
  2. Step 2: Convert to fraction form
    26,904/39,600 = 39,600/x
  3. Step 3: Cross multiply
    26,904x = 39,600 × 39,600
  4. Step 4: Simplify right side
    26,904x = 1,568,160,000
  5. Step 5: Solve for x
    x = 1,568,160,000/26,904
  6. Step 6: Final answer
    x = 58,287.24

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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.