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Finding the Third Proportional to 23,938 and 37,275

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Solution

The third proportional to 23,938 and 37,275 is: 58,042.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,938 : 37,275 = 37,275 : x
  2. Step 2: Convert to fraction form
    23,938/37,275 = 37,275/x
  3. Step 3: Cross multiply
    23,938x = 37,275 × 37,275
  4. Step 4: Simplify right side
    23,938x = 1,389,425,625
  5. Step 5: Solve for x
    x = 1,389,425,625/23,938
  6. Step 6: Final answer
    x = 58,042.68

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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.