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Finding the Third Proportional to 34,128 and 49,692

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Solution

The third proportional to 34,128 and 49,692 is: 72,353.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,128 : 49,692 = 49,692 : x
  2. Step 2: Convert to fraction form
    34,128/49,692 = 49,692/x
  3. Step 3: Cross multiply
    34,128x = 49,692 × 49,692
  4. Step 4: Simplify right side
    34,128x = 2,469,294,864
  5. Step 5: Solve for x
    x = 2,469,294,864/34,128
  6. Step 6: Final answer
    x = 72,353.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.