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Finding the Third Proportional to 21,721.50 and 48,141

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Solution

The third proportional to 21,721.50 and 48,141 is: 106,694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,721.50 : 48,141 = 48,141 : x
  2. Step 2: Convert to fraction form
    21,721.50/48,141 = 48,141/x
  3. Step 3: Cross multiply
    21,721.50x = 48,141 × 48,141
  4. Step 4: Simplify right side
    21,721.50x = 2,317,555,881
  5. Step 5: Solve for x
    x = 2,317,555,881/21,721.50
  6. Step 6: Final answer
    x = 106,694.10

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.