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Finding the Third Proportional to 23,614 and 36,848

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Solution

The third proportional to 23,614 and 36,848 is: 57,498.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,614 : 36,848 = 36,848 : x
  2. Step 2: Convert to fraction form
    23,614/36,848 = 36,848/x
  3. Step 3: Cross multiply
    23,614x = 36,848 × 36,848
  4. Step 4: Simplify right side
    23,614x = 1,357,775,104
  5. Step 5: Solve for x
    x = 1,357,775,104/23,614
  6. Step 6: Final answer
    x = 57,498.73

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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.