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Finding the Third Proportional to 39,896 and 83,923

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Solution

The third proportional to 39,896 and 83,923 is: 176,535.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,896 : 83,923 = 83,923 : x
  2. Step 2: Convert to fraction form
    39,896/83,923 = 83,923/x
  3. Step 3: Cross multiply
    39,896x = 83,923 × 83,923
  4. Step 4: Simplify right side
    39,896x = 7,043,069,929
  5. Step 5: Solve for x
    x = 7,043,069,929/39,896
  6. Step 6: Final answer
    x = 176,535.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.