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Finding the Third Proportional to 21,966 and 48,113

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Solution

The third proportional to 21,966 and 48,113 is: 105,383.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,966 : 48,113 = 48,113 : x
  2. Step 2: Convert to fraction form
    21,966/48,113 = 48,113/x
  3. Step 3: Cross multiply
    21,966x = 48,113 × 48,113
  4. Step 4: Simplify right side
    21,966x = 2,314,860,769
  5. Step 5: Solve for x
    x = 2,314,860,769/21,966
  6. Step 6: Final answer
    x = 105,383.81

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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.