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Finding the Third Proportional to 23,652 and 37,014

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Solution

The third proportional to 23,652 and 37,014 is: 57,924.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,652 : 37,014 = 37,014 : x
  2. Step 2: Convert to fraction form
    23,652/37,014 = 37,014/x
  3. Step 3: Cross multiply
    23,652x = 37,014 × 37,014
  4. Step 4: Simplify right side
    23,652x = 1,370,036,196
  5. Step 5: Solve for x
    x = 1,370,036,196/23,652
  6. Step 6: Final answer
    x = 57,924.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.