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Finding the Third Proportional to 48,696 and 72,936

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Solution

The third proportional to 48,696 and 72,936 is: 109,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,696 : 72,936 = 72,936 : x
  2. Step 2: Convert to fraction form
    48,696/72,936 = 72,936/x
  3. Step 3: Cross multiply
    48,696x = 72,936 × 72,936
  4. Step 4: Simplify right side
    48,696x = 5,319,660,096
  5. Step 5: Solve for x
    x = 5,319,660,096/48,696
  6. Step 6: Final answer
    x = 109,242.24

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Why These Related Problems?

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