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Finding the Third Proportional to 39,684 and 53,896

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Solution

The third proportional to 39,684 and 53,896 is: 73,197.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,684 : 53,896 = 53,896 : x
  2. Step 2: Convert to fraction form
    39,684/53,896 = 53,896/x
  3. Step 3: Cross multiply
    39,684x = 53,896 × 53,896
  4. Step 4: Simplify right side
    39,684x = 2,904,778,816
  5. Step 5: Solve for x
    x = 2,904,778,816/39,684
  6. Step 6: Final answer
    x = 73,197.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.