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Finding the Third Proportional to 31,938 and 48,353

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Solution

The third proportional to 31,938 and 48,353 is: 73,204.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,938 : 48,353 = 48,353 : x
  2. Step 2: Convert to fraction form
    31,938/48,353 = 48,353/x
  3. Step 3: Cross multiply
    31,938x = 48,353 × 48,353
  4. Step 4: Simplify right side
    31,938x = 2,338,012,609
  5. Step 5: Solve for x
    x = 2,338,012,609/31,938
  6. Step 6: Final answer
    x = 73,204.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.