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Finding the Third Proportional to 23,983 and 35,326

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Solution

The third proportional to 23,983 and 35,326 is: 52,033.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,983 : 35,326 = 35,326 : x
  2. Step 2: Convert to fraction form
    23,983/35,326 = 35,326/x
  3. Step 3: Cross multiply
    23,983x = 35,326 × 35,326
  4. Step 4: Simplify right side
    23,983x = 1,247,926,276
  5. Step 5: Solve for x
    x = 1,247,926,276/23,983
  6. Step 6: Final answer
    x = 52,033.79

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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.