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Finding the Third Proportional to 23,347 and 34,938

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Solution

The third proportional to 23,347 and 34,938 is: 52,283.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,347 : 34,938 = 34,938 : x
  2. Step 2: Convert to fraction form
    23,347/34,938 = 34,938/x
  3. Step 3: Cross multiply
    23,347x = 34,938 × 34,938
  4. Step 4: Simplify right side
    23,347x = 1,220,663,844
  5. Step 5: Solve for x
    x = 1,220,663,844/23,347
  6. Step 6: Final answer
    x = 52,283.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.