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Finding the Third Proportional to 21,968 and 48,108

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Solution

The third proportional to 21,968 and 48,108 is: 105,352.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,968 : 48,108 = 48,108 : x
  2. Step 2: Convert to fraction form
    21,968/48,108 = 48,108/x
  3. Step 3: Cross multiply
    21,968x = 48,108 × 48,108
  4. Step 4: Simplify right side
    21,968x = 2,314,379,664
  5. Step 5: Solve for x
    x = 2,314,379,664/21,968
  6. Step 6: Final answer
    x = 105,352.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.