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Finding the Third Proportional to 23,983 and 37,539

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Solution

The third proportional to 23,983 and 37,539 is: 58,757.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,983 : 37,539 = 37,539 : x
  2. Step 2: Convert to fraction form
    23,983/37,539 = 37,539/x
  3. Step 3: Cross multiply
    23,983x = 37,539 × 37,539
  4. Step 4: Simplify right side
    23,983x = 1,409,176,521
  5. Step 5: Solve for x
    x = 1,409,176,521/23,983
  6. Step 6: Final answer
    x = 58,757.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.