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Finding the Third Proportional to 21,534 and 48,108

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Solution

The third proportional to 21,534 and 48,108 is: 107,475.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,534 : 48,108 = 48,108 : x
  2. Step 2: Convert to fraction form
    21,534/48,108 = 48,108/x
  3. Step 3: Cross multiply
    21,534x = 48,108 × 48,108
  4. Step 4: Simplify right side
    21,534x = 2,314,379,664
  5. Step 5: Solve for x
    x = 2,314,379,664/21,534
  6. Step 6: Final answer
    x = 107,475.60

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.