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Finding the Third Proportional to 23,715.50 and 34,349

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Solution

The third proportional to 23,715.50 and 34,349 is: 49,750.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,715.50 : 34,349 = 34,349 : x
  2. Step 2: Convert to fraction form
    23,715.50/34,349 = 34,349/x
  3. Step 3: Cross multiply
    23,715.50x = 34,349 × 34,349
  4. Step 4: Simplify right side
    23,715.50x = 1,179,853,801
  5. Step 5: Solve for x
    x = 1,179,853,801/23,715.50
  6. Step 6: Final answer
    x = 49,750.32

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.